Research Article

Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·)

Volume: 7 Number: 1 April 15, 2019
EN

Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·)

Abstract

Many authors study some integral representations of the function $H_{C}(\cdot)$. Here, we obtain some integral representations for extended Srivastava triple hypergeometric function $H_{C,p,v}(\cdot)$ involving Meijer’s $G$-function of one variable, confluent hypergeometric and Whittaker functions.

Keywords

References

  1. [1] Cuyt, A., Petersen, V., Verdonk, B.W., Waadeland, H. and Jones, W. B. ; Handbook of Continued Fractions for Special Functions. Springer Science+Business Media B.V., 2008.
  2. [2] Bozer, M. and Ozarslan, M. A. ; Notes on generalized gamma, beta and hypergeometric functions. J. Comput. Anal. Appl. 15(7), (2013), 1194-1201.
  3. [3] C¸ etinkaya,A., Yagbasana, M.,I. and Kiymaz, I.O. ; The Extended Srivastava’s Triple Hypergeometric Functions and Their Integral Representations. J. Nonlinear Sci. Appl., 2016, 1-1.
  4. [4] Choi, J.,Hasanov, A., Srivastava, H. M. and Turaev,M. ; Integral representations for Srivastava’s triple hypergeometric functions. Taiwanese J. Math. 15(6), (2011), 2751-2762.
  5. [5] Choi,J., Hasanov,A. and Turaev,M. ; Integral representations for Srivastava’s triple hypergeometric functions HC. Honam Mathematical J. 34(4), (2012) , 473-482.
  6. [6] Choi J., Rathie, A. K. and Parmar, R. k. ; Extension of extended Beta, hypergeometric function and confluent hypergeometric function. Honam Mathematical J., 36(2), 2014, 357-385.
  7. [7] Dar, S.A. and Paris, R.B., A (p;v)-extension of Srivastava’s triple hypergeometric function HC and its properties, Communicated.
  8. [8] Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G. ; Higher Transcendental Functions. Vol. 1. McGraw-Hill, New york, Toronto and London, 1953.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

April 15, 2019

Submission Date

April 10, 2018

Acceptance Date

March 4, 2019

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Dar, S. A. (2019). Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp Journal of Mathematics, 7(1), 182-185. https://izlik.org/JA59YW64ZC
AMA
1.Dar SA. Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp J. Math. 2019;7(1):182-185. https://izlik.org/JA59YW64ZC
Chicago
Dar, Showkat Ahmad. 2019. “Evaluation of Some Integral Representations for Extended Srivastava Triple Hypergeometric Function HC,p,v(·)”. Konuralp Journal of Mathematics 7 (1): 182-85. https://izlik.org/JA59YW64ZC.
EndNote
Dar SA (April 1, 2019) Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp Journal of Mathematics 7 1 182–185.
IEEE
[1]S. A. Dar, “Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·)”, Konuralp J. Math., vol. 7, no. 1, pp. 182–185, Apr. 2019, [Online]. Available: https://izlik.org/JA59YW64ZC
ISNAD
Dar, Showkat Ahmad. “Evaluation of Some Integral Representations for Extended Srivastava Triple Hypergeometric Function HC,p,v(·)”. Konuralp Journal of Mathematics 7/1 (April 1, 2019): 182-185. https://izlik.org/JA59YW64ZC.
JAMA
1.Dar SA. Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp J. Math. 2019;7:182–185.
MLA
Dar, Showkat Ahmad. “Evaluation of Some Integral Representations for Extended Srivastava Triple Hypergeometric Function HC,p,v(·)”. Konuralp Journal of Mathematics, vol. 7, no. 1, Apr. 2019, pp. 182-5, https://izlik.org/JA59YW64ZC.
Vancouver
1.Showkat Ahmad Dar. Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp J. Math. [Internet]. 2019 Apr. 1;7(1):182-5. Available from: https://izlik.org/JA59YW64ZC
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