Øïàê³âñüêèé ³òàë³é Ñòàí³ñëàâîâè÷
Ïóáë³êàö³¿
1. Szpakowski (Shpakivskyi) V. , Solution of general linear quaternionic equations.The XI Kravchuk International Scientic Conference. Kyiv (Kiev), Ukraine, 2006, p. 661. (In Ukrainian)
Shpakivskyi-lin-quad-eq
2. Shpakivskyi V. , Solution of general linear antiquaternionic equations. Abstract of Bogolyubov readings 2007, Zhitomir-Kiev, Ukraine, 2007, pp. 107-108. (In Ukrainian)
3. Mierzejewski D. A., Szpakowski V. S. On solutions of some types of quaternionic quadratic equations // Bulletin de la Société des Sciences et des Lettres de Łódź 58, Ser. Recherches sur les déformations. – 2008. - 55. – P. 49 – 58.
4. Szpakowski V. S. Solution of general quadratic quaternionic equations // Bulletin de la Société des Sciences et des Lettres de Łódź 59, Ser. Recherches sur les déformations. – 2009. – 58. – P. 45 – 58.
5. Plaksa S. A., Shpakivskyi V. S. Limiting values of Cauchy type integral in a three-dimensional harmonic algebra // Eurasian Math. J. – 2012. – Vol. 3. – ¹ 2. – P. 120 – 128.
5. Øïàêîâñêèé Â. Ñ. Îá èçîìîðôèçìå ôóíêöèîíàëüíûõ àëãåáð â ãàðìîíè÷åñêîé àëãåáðå ñ äâóìåðíûì ðàäèêàëîì // Çá. ïðàöü ²íñòèòóòó ìàòåìàòèêè ÍÀÍ Óêðà¿íè. – 2012. – 9. – ¹ 2. – Ñ. 384 – 391.
7. Plaksa S. A., Shpakivskyi V. S. A description of spatial potential fields by means of monogenic functions in infinite-dimensional spaces with a commutative multiplication // Bulletin de la Société des Sciences et des Lettres de Łódź 62, Ser. Recherches sur les déformations. – 2012. – ¹ 2. – P. 55 – 65.
8. Plaksa S. A., Shpakivskyi V. S. On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical // Ann. Univ. Mariae Curie-Skladowska, Sect. A. – 2013. – Vol. 57, ¹ 1. – P. 57 – 64.
9. Flaut C., Shpakivskyi V. Some identities in algebras obtained by the Cayle-Dickson process // Advances in Applied Clifford Algebras. – 2013. – Vol. 23. – ¹ 1. – P. 63 – 76.
10. Ïëàêñà Ñ. À., Øïàêîâñêèé Â. Ñ. Î ëîãàðèôìè÷åñêîì âû÷åòå ìîíîãåííûõ ôóíêöèé â òðåõìåðíîé ãàðìîíè÷åñêîé àëãåáðå ñ äâóìåðíûì ðàäèêàëîì // Óêð. ìàò. æóðí. – 2013. – Ò. 65. - ¹ 7. – Ñ. 967 – 973.
11. Flaut C., Shpakivskyi V. Real matrix representations for the complex quaternions // Advances in Applied Clifford Algebras. – 2013. – Vol.23. – ¹ 3. – P. 657 – 671.
12. Flaut C., Shpakivskyi V. On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions // Advances in Applied Clifford Algebras. – 2013. – Vol.23. – ¹ 3. – P. 673 – 688.
13. Shpakivskyi V. S., Kuzmenko T. S. Monogenic functions of double variable // Çá. ïðàöü ²íñòèòóòó ìàòåìàòèêè ÍÀÍ Óêðà¿íè. – 2013. – 10. – ¹ 4–5. – Ñ. 372 – 378.
14. Plaksa S. A., Shpakivskyi V. S. Cauchy theorem for a surface integral in commutative algebras //Complex Variables and Elliptic Equations. – 2014. – Vol.59. – ¹ 1. – P. 110 – 119.
48. Plaksa S. A., Shpakivskyi V. S. Monogenic functions in a finite-dimensional algebra with unit and radical of maximal dimensionality // J. Algerian Math. Soc. – 2014. – Vol. 1. – P. 1 – 13.
50. Flaut C., Shpakivskyi V. Holomorphic functions in generalized Cayley-Dickson algebras // Advances in Applied Clifford Algebras. – 2015. – Vol. 25. – ¹ 1. – P. 95 – 112.
51. Flaut C., Shpakivskyi V. An efficient method for solving equations in generalized quaternion and octonion algebras // Advances in Applied Clifford Algebras. – 2015. – Vol. 25. – ¹ 2. – P. 337 – 350.
52. Shpakivskyi V. S. Constructive description of monogenic functions in a finite-dimensional commutative associative algebra // Reports of the NAS of Ukraine. – 2015. – ¹ 4. – P. 23 – 28. (in Ukrainian)
53. Shpakivskyi V. S. Monogenic functions in finite-dimensional commutative associative algebras // Zb. Pr. Inst. Mat. NAN Ukr. – 2015. – Vol. 12, ¹ 3. – P. 251 – 268.
54. Shpakivskyi V. S. Integral theorems for monogenic functions in commutative algebras // Zb. Pr. Inst. Mat. NAN Ukr. – 2015. – Vol. 12, ¹ 4. – P. 313 – 328.
57. Flaut C., Shpakivskyi V. Some remarks about Fibonacci elements in an arbitrary algebra // Bull. Soc. Sci. Lett. Łódź, Ser. Rech. Déform. – 2015. – Vol. 65, ¹ 3. – P. 63 – 73.
58. Shpakivskyi V. S., Kuzmenko T. S. On one class of quaternionic mappings // Ukr. Math. J. – 2016. – Vol. 68, ¹ 1. – P. 127 – 143.
59. Shpakivskyi V. S. Constructive description of monogenic functions in a finite-dimensional commutative associative algebra // Adv. Pure Appl. Math. – 2016. – Vol. 7, ¹ 1. – P. 63 – 75.
60. Shpakivskyi V. S., Kuzmenko T. S. Integral theorems for the quaternionic monogenic mappings // An. Şt. Univ. Ovidius Constanţa. – 2016. – Vol. 24, ¹ 2. – P. 271 – 281.
61. Shpakivskyi V. S. Curvilinear integral theorems for monogenic functions in commutative associative algebras // Advances in Applied Clifford Algebras. – 2016. – Vol. 26. – ¹ 1. – P. 417 – 434.
62. Shpakivskyi V. S., Kuzmenko T. S. On monogenic mappings of a quaternionic variable // J. Math. Sci. – 2017. – Vol. 221, ¹ 5. – P. 712 – 726.
63. Kuzmenko T. S., Shpakivskyi V. S. Generalized integral theorems for the quaternionic G-monogenic mappings // J. Math. Sci. – 2017. – Vol. 221.
64. Shpakivskyi V. S. Hypercomplex representation of analytic solutions of one hydrodynamic equation // Proc. of Inst. Appl. Math. Mech. – 2016. – 30. – P. 155 – 164. (in Russian)
65. Plaksa S. A., Shpakivskyi V. S. An extension of monogenic functions and spatial potentials // Lobachevskii J. Math. – 2017. – Vol. 38, ¹ 2. – P. 330 – 337.
66. Shpakivskyi V. S. Hypercomplex functions and exact solutions of one hydrodynamic equation // Zb. Pr. Inst. Mat. NAN Ukr. – 2017. – Vol. 14, ¹ 1. – P. 262 – 274. (in Russian)
69. Shpakivskyi V. S., Kuzmenko T. S. Quaternionic G-monogenic mappings in Em // Int. J. Adv. Res. Math. – 2018. – 12. – P. 1 – 34.
70. Plaksa S. A., Shpakivskyi V. S. Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication // Bulletin de la Société des Sciences et des Lettres de Łódź, Ser. Recherches sur les déformations. – 2018. – 68, ¹ 2. – P. 25 – 36.
http://journals.ltn.lodz.pl/index.php/Bulletin/article/view/426
71. Øïàê³âñüêèé Â. Ñ. Ïðî ìîíîãåíí³ ôóíêö³¿, âèçíà÷åí³ â ð³çíèõ êîìóòàòèâíèõ àëãåáðàõ // Óêð. ìàò. â³ñíèê. – 2018. – 15, ¹ 2. – P. 272 – 294.
https://link.springer.com/article/10.1007/s10958-019-04291-0
72. Øïàê³âñüêèé Â. Ñ. Ïðî ìîíîãåíí³ ôóíêö³¿ íà ðîçøèðåííÿõ êîìóòàòèâíî¿ àëãåáðè // Ïðàö³ ì³æíàð. ãåîì. öåíòðó. – 2018. – 11, ¹ 3. – P. 1 – 18.
https://journals.onaft.edu.ua/index.php/geometry/article/view/1200
73. Øïàê³âñüêèé Â. Ñ. óïåðêîìïëåêñíèé ìåòîä ðîçâ'ÿçóâàííÿ ë³í³éíèõ äèôåðåíö³àëüíèõ ð³âíÿíü ç ÷àñòèííèìè ïîõ³äíèìè // Òðóäû ÈÏÌÌ ÍÀÍ Óêðàèíû. – 2018. – 32. – Ñ. 147 – 168.
http://dspace.nbuv.gov.ua/handle/123456789/169134
74. Kuzmenko T. S., Shpakivskyi V. S. A theory of quaternionic G-monogenic mappings in E3 , In: Models and Theories in Social Systems (Eds. C. Flaut etc.). – Springer, 2019. – Vol. 179. – P. 451 – 508.
https://link.springer.com/chapter/10.1007/978-3-030-00084-4_25
75. Shpakivskyi V. Monogenic functions in commutative algebras // In: Analysis, Probability, Applications, and Computation, Trends in Mathematics, (Eds. K.-O. Lindahl et al.). – Springer, 2019. – P. 171 – 178.
77. Luna-Elizarrarás M. E., Shapiro M., Shpakivskyi V. On the Hausdorff Analyticity for Quaternion-Valued Functions // Complex Analysis and Operator Theory. – 2019. – 13, ¹ 6. – P. 2863–2880.
https://link.springer.com/article/10.1007/s11785-018-0856-8
2. Shpakivskyi V. , Solution of general linear antiquaternionic equations. Abstract of Bogolyubov readings 2007, Zhitomir-Kiev, Ukraine, 2007, pp. 107-108. (In Ukrainian)
3. Mierzejewski D. A., Szpakowski V. S. On solutions of some types of quaternionic quadratic equations // Bulletin de la Société des Sciences et des Lettres de Łódź 58, Ser. Recherches sur les déformations. – 2008. - 55. – P. 49 – 58.
4. Szpakowski V. S. Solution of general quadratic quaternionic equations // Bulletin de la Société des Sciences et des Lettres de Łódź 59, Ser. Recherches sur les déformations. – 2009. – 58. – P. 45 – 58.
5. Plaksa S. A., Shpakivskyi V. S. Limiting values of Cauchy type integral in a three-dimensional harmonic algebra // Eurasian Math. J. – 2012. – Vol. 3. – ¹ 2. – P. 120 – 128.
5. Øïàêîâñêèé Â. Ñ. Îá èçîìîðôèçìå ôóíêöèîíàëüíûõ àëãåáð â ãàðìîíè÷åñêîé àëãåáðå ñ äâóìåðíûì ðàäèêàëîì // Çá. ïðàöü ²íñòèòóòó ìàòåìàòèêè ÍÀÍ Óêðà¿íè. – 2012. – 9. – ¹ 2. – Ñ. 384 – 391.
7. Plaksa S. A., Shpakivskyi V. S. A description of spatial potential fields by means of monogenic functions in infinite-dimensional spaces with a commutative multiplication // Bulletin de la Société des Sciences et des Lettres de Łódź 62, Ser. Recherches sur les déformations. – 2012. – ¹ 2. – P. 55 – 65.
8. Plaksa S. A., Shpakivskyi V. S. On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical // Ann. Univ. Mariae Curie-Skladowska, Sect. A. – 2013. – Vol. 57, ¹ 1. – P. 57 – 64.
9. Flaut C., Shpakivskyi V. Some identities in algebras obtained by the Cayle-Dickson process // Advances in Applied Clifford Algebras. – 2013. – Vol. 23. – ¹ 1. – P. 63 – 76.
10. Ïëàêñà Ñ. À., Øïàêîâñêèé Â. Ñ. Î ëîãàðèôìè÷åñêîì âû÷åòå ìîíîãåííûõ ôóíêöèé â òðåõìåðíîé ãàðìîíè÷åñêîé àëãåáðå ñ äâóìåðíûì ðàäèêàëîì // Óêð. ìàò. æóðí. – 2013. – Ò. 65. - ¹ 7. – Ñ. 967 – 973.
11. Flaut C., Shpakivskyi V. Real matrix representations for the complex quaternions // Advances in Applied Clifford Algebras. – 2013. – Vol.23. – ¹ 3. – P. 657 – 671.
12. Flaut C., Shpakivskyi V. On Generalized Fibonacci Quaternions and Fibonacci-Narayana Quaternions // Advances in Applied Clifford Algebras. – 2013. – Vol.23. – ¹ 3. – P. 673 – 688.
13. Shpakivskyi V. S., Kuzmenko T. S. Monogenic functions of double variable // Çá. ïðàöü ²íñòèòóòó ìàòåìàòèêè ÍÀÍ Óêðà¿íè. – 2013. – 10. – ¹ 4–5. – Ñ. 372 – 378.
14. Plaksa S. A., Shpakivskyi V. S. Cauchy theorem for a surface integral in commutative algebras //Complex Variables and Elliptic Equations. – 2014. – Vol.59. – ¹ 1. – P. 110 – 119.
48. Plaksa S. A., Shpakivskyi V. S. Monogenic functions in a finite-dimensional algebra with unit and radical of maximal dimensionality // J. Algerian Math. Soc. – 2014. – Vol. 1. – P. 1 – 13.
50. Flaut C., Shpakivskyi V. Holomorphic functions in generalized Cayley-Dickson algebras // Advances in Applied Clifford Algebras. – 2015. – Vol. 25. – ¹ 1. – P. 95 – 112.
51. Flaut C., Shpakivskyi V. An efficient method for solving equations in generalized quaternion and octonion algebras // Advances in Applied Clifford Algebras. – 2015. – Vol. 25. – ¹ 2. – P. 337 – 350.
52. Shpakivskyi V. S. Constructive description of monogenic functions in a finite-dimensional commutative associative algebra // Reports of the NAS of Ukraine. – 2015. – ¹ 4. – P. 23 – 28. (in Ukrainian)
53. Shpakivskyi V. S. Monogenic functions in finite-dimensional commutative associative algebras // Zb. Pr. Inst. Mat. NAN Ukr. – 2015. – Vol. 12, ¹ 3. – P. 251 – 268.
54. Shpakivskyi V. S. Integral theorems for monogenic functions in commutative algebras // Zb. Pr. Inst. Mat. NAN Ukr. – 2015. – Vol. 12, ¹ 4. – P. 313 – 328.
57. Flaut C., Shpakivskyi V. Some remarks about Fibonacci elements in an arbitrary algebra // Bull. Soc. Sci. Lett. Łódź, Ser. Rech. Déform. – 2015. – Vol. 65, ¹ 3. – P. 63 – 73.
58. Shpakivskyi V. S., Kuzmenko T. S. On one class of quaternionic mappings // Ukr. Math. J. – 2016. – Vol. 68, ¹ 1. – P. 127 – 143.
59. Shpakivskyi V. S. Constructive description of monogenic functions in a finite-dimensional commutative associative algebra // Adv. Pure Appl. Math. – 2016. – Vol. 7, ¹ 1. – P. 63 – 75.
60. Shpakivskyi V. S., Kuzmenko T. S. Integral theorems for the quaternionic monogenic mappings // An. Şt. Univ. Ovidius Constanţa. – 2016. – Vol. 24, ¹ 2. – P. 271 – 281.
61. Shpakivskyi V. S. Curvilinear integral theorems for monogenic functions in commutative associative algebras // Advances in Applied Clifford Algebras. – 2016. – Vol. 26. – ¹ 1. – P. 417 – 434.
62. Shpakivskyi V. S., Kuzmenko T. S. On monogenic mappings of a quaternionic variable // J. Math. Sci. – 2017. – Vol. 221, ¹ 5. – P. 712 – 726.
63. Kuzmenko T. S., Shpakivskyi V. S. Generalized integral theorems for the quaternionic G-monogenic mappings // J. Math. Sci. – 2017. – Vol. 221.
64. Shpakivskyi V. S. Hypercomplex representation of analytic solutions of one hydrodynamic equation // Proc. of Inst. Appl. Math. Mech. – 2016. – 30. – P. 155 – 164. (in Russian)
65. Plaksa S. A., Shpakivskyi V. S. An extension of monogenic functions and spatial potentials // Lobachevskii J. Math. – 2017. – Vol. 38, ¹ 2. – P. 330 – 337.
66. Shpakivskyi V. S. Hypercomplex functions and exact solutions of one hydrodynamic equation // Zb. Pr. Inst. Mat. NAN Ukr. – 2017. – Vol. 14, ¹ 1. – P. 262 – 274. (in Russian)
69. Shpakivskyi V. S., Kuzmenko T. S. Quaternionic G-monogenic mappings in Em // Int. J. Adv. Res. Math. – 2018. – 12. – P. 1 – 34.
70. Plaksa S. A., Shpakivskyi V. S. Integral theorems for monogenic functions in an infinite-dimensional space with a commutative multiplication // Bulletin de la Société des Sciences et des Lettres de Łódź, Ser. Recherches sur les déformations. – 2018. – 68, ¹ 2. – P. 25 – 36.
http://journals.ltn.lodz.pl/index.php/Bulletin/article/view/426
71. Øïàê³âñüêèé Â. Ñ. Ïðî ìîíîãåíí³ ôóíêö³¿, âèçíà÷åí³ â ð³çíèõ êîìóòàòèâíèõ àëãåáðàõ // Óêð. ìàò. â³ñíèê. – 2018. – 15, ¹ 2. – P. 272 – 294.
https://link.springer.com/article/10.1007/s10958-019-04291-0
72. Øïàê³âñüêèé Â. Ñ. Ïðî ìîíîãåíí³ ôóíêö³¿ íà ðîçøèðåííÿõ êîìóòàòèâíî¿ àëãåáðè // Ïðàö³ ì³æíàð. ãåîì. öåíòðó. – 2018. – 11, ¹ 3. – P. 1 – 18.
https://journals.onaft.edu.ua/index.php/geometry/article/view/1200
73. Øïàê³âñüêèé Â. Ñ. óïåðêîìïëåêñíèé ìåòîä ðîçâ'ÿçóâàííÿ ë³í³éíèõ äèôåðåíö³àëüíèõ ð³âíÿíü ç ÷àñòèííèìè ïîõ³äíèìè // Òðóäû ÈÏÌÌ ÍÀÍ Óêðàèíû. – 2018. – 32. – Ñ. 147 – 168.
http://dspace.nbuv.gov.ua/handle/123456789/169134
74. Kuzmenko T. S., Shpakivskyi V. S. A theory of quaternionic G-monogenic mappings in E3 , In: Models and Theories in Social Systems (Eds. C. Flaut etc.). – Springer, 2019. – Vol. 179. – P. 451 – 508.
https://link.springer.com/chapter/10.1007/978-3-030-00084-4_25
75. Shpakivskyi V. Monogenic functions in commutative algebras // In: Analysis, Probability, Applications, and Computation, Trends in Mathematics, (Eds. K.-O. Lindahl et al.). – Springer, 2019. – P. 171 – 178.
77. Luna-Elizarrarás M. E., Shapiro M., Shpakivskyi V. On the Hausdorff Analyticity for Quaternion-Valued Functions // Complex Analysis and Operator Theory. – 2019. – 13, ¹ 6. – P. 2863–2880.
https://link.springer.com/article/10.1007/s11785-018-0856-8