Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 7 Sayı: 1, 182 - 185, 15.04.2019

Öz

Kaynakça

  • [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] Bozer, M. and Ozarslan, M. A. ; Notes on generalized gamma, beta and hypergeometric functions. J. Comput. Anal. Appl. 15(7), (2013), 1194-1201.
  • [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] 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] 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] 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] Dar, S.A. and Paris, R.B., A (p;v)-extension of Srivastava’s triple hypergeometric function HC and its properties, Communicated.
  • [8] Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G. ; Higher Transcendental Functions. Vol. 1. McGraw-Hill, New york, Toronto and London, 1953.
  • [9] Karlsson, P.W. ; Regions of convergences for hypergeometric series in three variables. Math. Scand, 48(1974), 241-248.
  • [10] Luo, M. J., Milovanovic, G. V. and Agarwal,P. ; Some results on the extended beta and extended hypergeometric functions. Applied Mathematics and Computation , 248(2014) , 631-651.
  • [11] Olver F. W. J., Lozier D. W., Boisvert R. F. and Clark C. W. (eds.); NIST Handbook of Mathematical Functions. Cambridge University Press, Cambridge, 2010.
  • [12] O zergin,E., Ozarslan,M. A. and Altin,A. ; Extension of gamma, beta and hypergeometric functions. J. Comput. Appl. Math. 235(2011) , 4601-4610.
  • [13] Parmar, R. K., Chopra, P. and Paris, R. B. ; On an Extension of Extended Beta and Hypergeometric Functions. arXiv:1502.06200 [math.CA], 22(2015).
  • [14] Rainville, E. D. ; Special Functions. Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
  • [15] Srivastava,H.M. ; Hypergeometric functions of three variables. Ganita, 15(1964) , 97-108.
  • [16] Srivastava, H. M. ; Some integrals representing triple hypergeometric functions. Rend. Circ. Mat. Palermo (Ser. 2), 16( 1967), 99-115.
  • [17] Srivastava, H. M. and Manocha, H. L. ; A Treatise on Generating Functions Halsted Press (Ellis Horwood Limited, Chichester, U.K.) John Wiley and Sons, New york, Chichester, Brisbane and Toronto, 1984.
  • [18] Srivastava,H. M. and Karlsson,P. W. ; Multiple Gaussian Hypergeometric Series. Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1985.
  • [19] Slater,L.J. ; Generalized Hypergeometric Functions. Cambridge University Press, Cambridge, 1966.

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

Yıl 2019, Cilt: 7 Sayı: 1, 182 - 185, 15.04.2019

Öz

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.

Kaynakça

  • [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] Bozer, M. and Ozarslan, M. A. ; Notes on generalized gamma, beta and hypergeometric functions. J. Comput. Anal. Appl. 15(7), (2013), 1194-1201.
  • [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] 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] 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] 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] Dar, S.A. and Paris, R.B., A (p;v)-extension of Srivastava’s triple hypergeometric function HC and its properties, Communicated.
  • [8] Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G. ; Higher Transcendental Functions. Vol. 1. McGraw-Hill, New york, Toronto and London, 1953.
  • [9] Karlsson, P.W. ; Regions of convergences for hypergeometric series in three variables. Math. Scand, 48(1974), 241-248.
  • [10] Luo, M. J., Milovanovic, G. V. and Agarwal,P. ; Some results on the extended beta and extended hypergeometric functions. Applied Mathematics and Computation , 248(2014) , 631-651.
  • [11] Olver F. W. J., Lozier D. W., Boisvert R. F. and Clark C. W. (eds.); NIST Handbook of Mathematical Functions. Cambridge University Press, Cambridge, 2010.
  • [12] O zergin,E., Ozarslan,M. A. and Altin,A. ; Extension of gamma, beta and hypergeometric functions. J. Comput. Appl. Math. 235(2011) , 4601-4610.
  • [13] Parmar, R. K., Chopra, P. and Paris, R. B. ; On an Extension of Extended Beta and Hypergeometric Functions. arXiv:1502.06200 [math.CA], 22(2015).
  • [14] Rainville, E. D. ; Special Functions. Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company, Bronx, New York, 1971.
  • [15] Srivastava,H.M. ; Hypergeometric functions of three variables. Ganita, 15(1964) , 97-108.
  • [16] Srivastava, H. M. ; Some integrals representing triple hypergeometric functions. Rend. Circ. Mat. Palermo (Ser. 2), 16( 1967), 99-115.
  • [17] Srivastava, H. M. and Manocha, H. L. ; A Treatise on Generating Functions Halsted Press (Ellis Horwood Limited, Chichester, U.K.) John Wiley and Sons, New york, Chichester, Brisbane and Toronto, 1984.
  • [18] Srivastava,H. M. and Karlsson,P. W. ; Multiple Gaussian Hypergeometric Series. Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1985.
  • [19] Slater,L.J. ; Generalized Hypergeometric Functions. Cambridge University Press, Cambridge, 1966.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Showkat Ahmad Dar

Yayımlanma Tarihi 15 Nisan 2019
Gönderilme Tarihi 10 Nisan 2018
Kabul Tarihi 4 Mart 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 7 Sayı: 1

Kaynak Göster

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.
AMA Dar SA. Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp J. Math. Nisan 2019;7(1):182-185.
Chicago Dar, Showkat Ahmad. “Evaluation of Some Integral Representations for Extended Srivastava Triple Hypergeometric Function HC,p,v(·)”. Konuralp Journal of Mathematics 7, sy. 1 (Nisan 2019): 182-85.
EndNote Dar SA (01 Nisan 2019) Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp Journal of Mathematics 7 1 182–185.
IEEE S. A. Dar, “Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·)”, Konuralp J. Math., c. 7, sy. 1, ss. 182–185, 2019.
ISNAD Dar, Showkat Ahmad. “Evaluation of Some Integral Representations for Extended Srivastava Triple Hypergeometric Function HC,p,v(·)”. Konuralp Journal of Mathematics 7/1 (Nisan 2019), 182-185.
JAMA 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, c. 7, sy. 1, 2019, ss. 182-5.
Vancouver Dar SA. Evaluation of some integral representations for extended Srivastava triple hypergeometric function HC,p,v(·). Konuralp J. Math. 2019;7(1):182-5.
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