New Laplace transforms of Kummers confluent hypergeometric functions
Апстракт
In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather general cases of Kummers confluent hypergeometric function F-1(1)(a; b; x) by employing generalizations of Gausss second summation theorem, Baileys summation theorem and Kummers summation theorem obtained earlier by Lavoie, Grondin and Rathie. The results established may be useful in theoretical physics, engineering and mathematics. (C) 2011 Elsevier Ltd. All rights reserved.
Кључне речи:
Kummers function of the first kind / Confluent hypergeometric function / Laplace transform / Baileys summation theorem / Gausss second summation theorem / Kummers summation theoremИзвор:
Mathematical and Computer Modelling, 2012, 55, 3-4, 1068-1071Финансирање / пројекти:
- Функционални, функционализовани и усавршени нано материјали (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45005)
- Динамика нелинеарних физичкохемијских и биохемијских система са моделирањем и предвиђањем њихових понашања под неравнотежним условима (RS-MESTD-Basic Research (BR or ON)-172015)
- Wonkwang University
DOI: 10.1016/j.mcm.2011.09.031
ISSN: 0895-7177
WoS: 000298660000070
Scopus: 2-s2.0-84855205604
Колекције
Институција/група
VinčaTY - JOUR AU - Kim, Yong Sup AU - Rathie, Arjun K. AU - Cvijović, Đurđe PY - 2012 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4630 AB - In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather general cases of Kummers confluent hypergeometric function F-1(1)(a; b; x) by employing generalizations of Gausss second summation theorem, Baileys summation theorem and Kummers summation theorem obtained earlier by Lavoie, Grondin and Rathie. The results established may be useful in theoretical physics, engineering and mathematics. (C) 2011 Elsevier Ltd. All rights reserved. T2 - Mathematical and Computer Modelling T1 - New Laplace transforms of Kummers confluent hypergeometric functions VL - 55 IS - 3-4 SP - 1068 EP - 1071 DO - 10.1016/j.mcm.2011.09.031 ER -
@article{ author = "Kim, Yong Sup and Rathie, Arjun K. and Cvijović, Đurđe", year = "2012", abstract = "In this paper we aim to show how one can obtain so far unknown Laplace transforms of three rather general cases of Kummers confluent hypergeometric function F-1(1)(a; b; x) by employing generalizations of Gausss second summation theorem, Baileys summation theorem and Kummers summation theorem obtained earlier by Lavoie, Grondin and Rathie. The results established may be useful in theoretical physics, engineering and mathematics. (C) 2011 Elsevier Ltd. All rights reserved.", journal = "Mathematical and Computer Modelling", title = "New Laplace transforms of Kummers confluent hypergeometric functions", volume = "55", number = "3-4", pages = "1068-1071", doi = "10.1016/j.mcm.2011.09.031" }
Kim, Y. S., Rathie, A. K.,& Cvijović, Đ.. (2012). New Laplace transforms of Kummers confluent hypergeometric functions. in Mathematical and Computer Modelling, 55(3-4), 1068-1071. https://doi.org/10.1016/j.mcm.2011.09.031
Kim YS, Rathie AK, Cvijović Đ. New Laplace transforms of Kummers confluent hypergeometric functions. in Mathematical and Computer Modelling. 2012;55(3-4):1068-1071. doi:10.1016/j.mcm.2011.09.031 .
Kim, Yong Sup, Rathie, Arjun K., Cvijović, Đurđe, "New Laplace transforms of Kummers confluent hypergeometric functions" in Mathematical and Computer Modelling, 55, no. 3-4 (2012):1068-1071, https://doi.org/10.1016/j.mcm.2011.09.031 . .