Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 2 Sayı: 3, 199 - 205, 30.09.2019
https://doi.org/10.33434/cams.550192

Öz

Kaynakça

  • [1] H. M. Srivastava, P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press, New York, 1985.
  • [2] G. M. Mittag-Leffler, Sur la nouvelle function Ea(z), C. R. Acad. Sci. Paris, 137 (1903), 554–558.
  • [3] A. Wiman, Uber den fundamental Satz in der Theorie der Funktionen Ea(z), Acta Math., 29 (1905), 191–201.
  • [4] T. R. Prabhakar, A singuler integral equation with a generalized Mittag-Leffer function in the kernel, Yokohoma Math. J., 19 (1971), 7–15.
  • [5] A. A. Al-Gonah, W. K. Mohammed, A new extension of extended Gamma and Beta functions and their properties, J. Sci. Engrg. Res., 5(9) (2018), 257–270.
  • [6] P. Agarwal, Certain properties of the generalized Gauss hypergeometric functions, Appl. Math. Inform. Sci., 8(5)(2014), 2315–2320.
  • [7] P. Agarwal, J. Choi , S. Jain, Extended hypergeometric functions of two and three variables, Commun. Korean Math. Soc., 30(4) (2015), 403–414.
  • [8] M. Luo , G. V. Milovanovic, P. Agarwal, Some results on the extended beta and extended hypergeometric functions, Appl. Math. Comput., 248 (2014), 631–651.
  • [9] E. Ozergin, M.A. Ozarslan, A. Altin, Extension of gamma, beta and hypergeometric functions, J. Comp. and Appl. Math., 235 (2011), 4601–4610.
  • [10] P. I. Pucheta, A new extended Beta function, Int. J. Math. Appl, 5(3-C) (2017), 255–260.
  • [11] M. Shadab, S. Jabee, J. Choi, An extension of Beta function and its application, Far East J. Math. Sci., 103(1) (2018), 235–251.
  • [12] M. A. Chaudhry, A. Qadir, M. Rafique, S. M. Zubair, Extension of Euler’s Beta function, J. Comput. Appl. Math., 78 (1997) 19–32.
  • [13] M. A. Chaudhry, A. Qadir, H. M.Srivastava, R. B. Paris, Extended hypergeometric and confluent hypergeometric function, Appl. Math. Comput., 159 (2004), 589–602.
  • [14] J. Choi, A. K. Rathie, R. K. Parmar, Extension of extended Beta, Hypergeometric and confluent hypergeometric functions, Honam Math. J., 36(2)(2014), 357–385.
  • [15] G. Rahman, G. Kanwal, K. S. Nisar , A. Ghaffar, A new extension of Beta and hypergeometric functions, (2018), doi:10.20944/preprints201801.0074.v1.
  • [16] A. A. Atash, S. S. Barahmah, M. A. Kulib, On a new extensions of extended Gamma and Beta functions, Int. J. Stat. Appl. Math., 3(6) (2018), 14–18.
  • [17] S. S. Barahmah, Further generalized Beta function with three parameters Mittag-Leffler function, Earthline J. Math. Sci., 1 (2019), 41–49.
  • [18] E. D. Rainville, Special Functions, The Macmillan Company, New York, (1960).

On Extensions of Extended Gauss Hypergeometric Function

Yıl 2019, Cilt: 2 Sayı: 3, 199 - 205, 30.09.2019
https://doi.org/10.33434/cams.550192

Öz



The aim of this paper is to introduce a new extensions of extended Gauss hypergeometric function. Certain integral representations, transformation and summation formulas for extended Gauss hypergeometric function are presented and some special cases are also discussed.

Kaynakça

  • [1] H. M. Srivastava, P. W. Karlsson, Multiple Gaussian Hypergeometric Series, Halsted Press, New York, 1985.
  • [2] G. M. Mittag-Leffler, Sur la nouvelle function Ea(z), C. R. Acad. Sci. Paris, 137 (1903), 554–558.
  • [3] A. Wiman, Uber den fundamental Satz in der Theorie der Funktionen Ea(z), Acta Math., 29 (1905), 191–201.
  • [4] T. R. Prabhakar, A singuler integral equation with a generalized Mittag-Leffer function in the kernel, Yokohoma Math. J., 19 (1971), 7–15.
  • [5] A. A. Al-Gonah, W. K. Mohammed, A new extension of extended Gamma and Beta functions and their properties, J. Sci. Engrg. Res., 5(9) (2018), 257–270.
  • [6] P. Agarwal, Certain properties of the generalized Gauss hypergeometric functions, Appl. Math. Inform. Sci., 8(5)(2014), 2315–2320.
  • [7] P. Agarwal, J. Choi , S. Jain, Extended hypergeometric functions of two and three variables, Commun. Korean Math. Soc., 30(4) (2015), 403–414.
  • [8] M. Luo , G. V. Milovanovic, P. Agarwal, Some results on the extended beta and extended hypergeometric functions, Appl. Math. Comput., 248 (2014), 631–651.
  • [9] E. Ozergin, M.A. Ozarslan, A. Altin, Extension of gamma, beta and hypergeometric functions, J. Comp. and Appl. Math., 235 (2011), 4601–4610.
  • [10] P. I. Pucheta, A new extended Beta function, Int. J. Math. Appl, 5(3-C) (2017), 255–260.
  • [11] M. Shadab, S. Jabee, J. Choi, An extension of Beta function and its application, Far East J. Math. Sci., 103(1) (2018), 235–251.
  • [12] M. A. Chaudhry, A. Qadir, M. Rafique, S. M. Zubair, Extension of Euler’s Beta function, J. Comput. Appl. Math., 78 (1997) 19–32.
  • [13] M. A. Chaudhry, A. Qadir, H. M.Srivastava, R. B. Paris, Extended hypergeometric and confluent hypergeometric function, Appl. Math. Comput., 159 (2004), 589–602.
  • [14] J. Choi, A. K. Rathie, R. K. Parmar, Extension of extended Beta, Hypergeometric and confluent hypergeometric functions, Honam Math. J., 36(2)(2014), 357–385.
  • [15] G. Rahman, G. Kanwal, K. S. Nisar , A. Ghaffar, A new extension of Beta and hypergeometric functions, (2018), doi:10.20944/preprints201801.0074.v1.
  • [16] A. A. Atash, S. S. Barahmah, M. A. Kulib, On a new extensions of extended Gamma and Beta functions, Int. J. Stat. Appl. Math., 3(6) (2018), 14–18.
  • [17] S. S. Barahmah, Further generalized Beta function with three parameters Mittag-Leffler function, Earthline J. Math. Sci., 1 (2019), 41–49.
  • [18] E. D. Rainville, Special Functions, The Macmillan Company, New York, (1960).
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Ahmed Ali Atash 0000-0001-7762-6341

Salem Saleh Barahmah Bu kişi benim

Maisoon Ahmed Kulib Bu kişi benim

Yayımlanma Tarihi 30 Eylül 2019
Gönderilme Tarihi 6 Nisan 2019
Kabul Tarihi 26 Temmuz 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 3

Kaynak Göster

APA Atash, A. A., Barahmah, S. S., & Kulib, M. A. (2019). On Extensions of Extended Gauss Hypergeometric Function. Communications in Advanced Mathematical Sciences, 2(3), 199-205. https://doi.org/10.33434/cams.550192
AMA Atash AA, Barahmah SS, Kulib MA. On Extensions of Extended Gauss Hypergeometric Function. Communications in Advanced Mathematical Sciences. Eylül 2019;2(3):199-205. doi:10.33434/cams.550192
Chicago Atash, Ahmed Ali, Salem Saleh Barahmah, ve Maisoon Ahmed Kulib. “On Extensions of Extended Gauss Hypergeometric Function”. Communications in Advanced Mathematical Sciences 2, sy. 3 (Eylül 2019): 199-205. https://doi.org/10.33434/cams.550192.
EndNote Atash AA, Barahmah SS, Kulib MA (01 Eylül 2019) On Extensions of Extended Gauss Hypergeometric Function. Communications in Advanced Mathematical Sciences 2 3 199–205.
IEEE A. A. Atash, S. S. Barahmah, ve M. A. Kulib, “On Extensions of Extended Gauss Hypergeometric Function”, Communications in Advanced Mathematical Sciences, c. 2, sy. 3, ss. 199–205, 2019, doi: 10.33434/cams.550192.
ISNAD Atash, Ahmed Ali vd. “On Extensions of Extended Gauss Hypergeometric Function”. Communications in Advanced Mathematical Sciences 2/3 (Eylül 2019), 199-205. https://doi.org/10.33434/cams.550192.
JAMA Atash AA, Barahmah SS, Kulib MA. On Extensions of Extended Gauss Hypergeometric Function. Communications in Advanced Mathematical Sciences. 2019;2:199–205.
MLA Atash, Ahmed Ali vd. “On Extensions of Extended Gauss Hypergeometric Function”. Communications in Advanced Mathematical Sciences, c. 2, sy. 3, 2019, ss. 199-05, doi:10.33434/cams.550192.
Vancouver Atash AA, Barahmah SS, Kulib MA. On Extensions of Extended Gauss Hypergeometric Function. Communications in Advanced Mathematical Sciences. 2019;2(3):199-205.

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