Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2019, Cilt: 32 Sayı: 1, 225 - 240, 01.03.2019

Öz

Kaynakça

  • [1] Chaudhry, M. A., Qadir, A., Srivastava H. M., Paris, R. B., Extended hypergeometric and confluent hypergeometric functions, Appl. Math. Comput. 159 (2004), 589-602.
  • [2] Chaudhry, M. A., Zubair, S. M., Generalized incomplete gamma functions with applications, J. Comput. Appl. Math. 55 (1994), 99-124.
  • [3] Chaudhry, M. A., Qadir, A., Rafique, M., Zubair, S. M., Extension of Euler's beta function, J. Comput. Appl. Math.78 (1997) 19-32.
  • [4] Srivastava, H. M, Parmar R. K. and Chopra P., A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions, Axioms 1 (2012), 238-258.
  • [5] L. Minjie, A class of extended hypergeometric functions and its applications, arXiv:1302.2307 [math.CA], 2013.
  • [6] Erkuş, E. and Srivastava, H.M., A unified presentation of some families of multivariable polynomials, Integral Transform. Spec. Funct. 17 (2006), 267-273.
  • [7] Aktas, R. and Erkuş-Duman. E., The Laguerre polynomials in several variables, Math. Slovaca 63 (2013), No. 3, 531-544.
  • [8] Rainville E. D., Special Functions, The Macmillan Company, New York, 1960.
  • [9] Atash, A. A. and Obad, A. M., (2014). Bilateral generating functions for the generalized Horn's function , International Journal of Mathematical Analysis. 8, 2861-2867.
  • [10] Horn, J., Hypergeometrische Funktionen zweier Veränderlichen., Math. Ann. 105 (1931), 381-407.
  • [11] McBride, E. B., Obtaining Generating Functions, Springer-Verlag, New York, 1971.
  • [12] Srivastava, H. M. and Manocha, H. L. A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
  • [13] Exton H., Multiple hypergeometric functions and applications, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1976.

Extended Multivariable Fourth Type Horn Functions

Yıl 2019, Cilt: 32 Sayı: 1, 225 - 240, 01.03.2019

Öz

In this paper, we define extension of multivariable fourth kind Horn functions. Then, we obtain some generating functions for these functions. Furthermore, we get bilateral generating functions for the extended multivariable fourth kind Horn functions and extended first kind Lauricella functions. Finally, we derive various families of multilinear and multilateral generating functions for these functions and their special cases are also given.

Kaynakça

  • [1] Chaudhry, M. A., Qadir, A., Srivastava H. M., Paris, R. B., Extended hypergeometric and confluent hypergeometric functions, Appl. Math. Comput. 159 (2004), 589-602.
  • [2] Chaudhry, M. A., Zubair, S. M., Generalized incomplete gamma functions with applications, J. Comput. Appl. Math. 55 (1994), 99-124.
  • [3] Chaudhry, M. A., Qadir, A., Rafique, M., Zubair, S. M., Extension of Euler's beta function, J. Comput. Appl. Math.78 (1997) 19-32.
  • [4] Srivastava, H. M, Parmar R. K. and Chopra P., A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions, Axioms 1 (2012), 238-258.
  • [5] L. Minjie, A class of extended hypergeometric functions and its applications, arXiv:1302.2307 [math.CA], 2013.
  • [6] Erkuş, E. and Srivastava, H.M., A unified presentation of some families of multivariable polynomials, Integral Transform. Spec. Funct. 17 (2006), 267-273.
  • [7] Aktas, R. and Erkuş-Duman. E., The Laguerre polynomials in several variables, Math. Slovaca 63 (2013), No. 3, 531-544.
  • [8] Rainville E. D., Special Functions, The Macmillan Company, New York, 1960.
  • [9] Atash, A. A. and Obad, A. M., (2014). Bilateral generating functions for the generalized Horn's function , International Journal of Mathematical Analysis. 8, 2861-2867.
  • [10] Horn, J., Hypergeometrische Funktionen zweier Veränderlichen., Math. Ann. 105 (1931), 381-407.
  • [11] McBride, E. B., Obtaining Generating Functions, Springer-Verlag, New York, 1971.
  • [12] Srivastava, H. M. and Manocha, H. L. A Treatise on Generating Functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1984.
  • [13] Exton H., Multiple hypergeometric functions and applications, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, 1976.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Duriye Korkmaz-duzgun

Esra Erkus-duman

Yayımlanma Tarihi 1 Mart 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 32 Sayı: 1

Kaynak Göster

APA Korkmaz-duzgun, D., & Erkus-duman, E. (2019). Extended Multivariable Fourth Type Horn Functions. Gazi University Journal of Science, 32(1), 225-240.
AMA Korkmaz-duzgun D, Erkus-duman E. Extended Multivariable Fourth Type Horn Functions. Gazi University Journal of Science. Mart 2019;32(1):225-240.
Chicago Korkmaz-duzgun, Duriye, ve Esra Erkus-duman. “Extended Multivariable Fourth Type Horn Functions”. Gazi University Journal of Science 32, sy. 1 (Mart 2019): 225-40.
EndNote Korkmaz-duzgun D, Erkus-duman E (01 Mart 2019) Extended Multivariable Fourth Type Horn Functions. Gazi University Journal of Science 32 1 225–240.
IEEE D. Korkmaz-duzgun ve E. Erkus-duman, “Extended Multivariable Fourth Type Horn Functions”, Gazi University Journal of Science, c. 32, sy. 1, ss. 225–240, 2019.
ISNAD Korkmaz-duzgun, Duriye - Erkus-duman, Esra. “Extended Multivariable Fourth Type Horn Functions”. Gazi University Journal of Science 32/1 (Mart 2019), 225-240.
JAMA Korkmaz-duzgun D, Erkus-duman E. Extended Multivariable Fourth Type Horn Functions. Gazi University Journal of Science. 2019;32:225–240.
MLA Korkmaz-duzgun, Duriye ve Esra Erkus-duman. “Extended Multivariable Fourth Type Horn Functions”. Gazi University Journal of Science, c. 32, sy. 1, 2019, ss. 225-40.
Vancouver Korkmaz-duzgun D, Erkus-duman E. Extended Multivariable Fourth Type Horn Functions. Gazi University Journal of Science. 2019;32(1):225-40.