Araştırma Makalesi
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Integral Transforms for the New Generalized Beta Function

Yıl 2019, Sayı: 28, 53 - 61, 07.05.2019

Öz

In this paper, some representation formulas for the generalized Gamma and Beta functions are obtained. Also, certain integral transforms for the generalized Beta function associated with the Wright hypergeometric function are derived.

Kaynakça

  • A. A. Al-Gonah, W.K. Mohammed, A new extension of extended Gamma and Beta functions and their properties, Journal of Scientific and Engineering Research, 5 (9) (2018), 257-270
  • T.R. Prabhakar, A singular integral equation with a Generalized Mittag-Leffler Function in the Kernel}, Yokohama Mathematical Journal, 19 (1971), 7-15.
  • E. Özergin, Some properties of hypergeometric functions}, PhD dissertation, Eastern Mediterranean University (2011), North Cyprus, Turkey.
  • M. A. Chaudhry, A. Qadir, M. Rafique, S. M. Zubair, Extension of Euler's Beta Function, Journal of Computational and Applied Mathematics, 78 (1997), 19-32.
  • M. A. Chaudhry, S. M. Zubair, \emph{Generalized incomplete gamma functions with applications}, Journal of Computational and Applied Mathematics, 55 (1994), 99-124.
  • M. S. Shadab, S. J. Jabee, J. C. Choi, An extended Beta function and its applications, Far East Journal of Mathematical Sciences, 103 (2018), 235-251.
  • P. I. Pucheta, A new extended beta function, International Journal of Mathematics And its Applications, 5 (3-c) (2017), 255-260.
  • P. Agarwal, Certain properties of the generalized Gauss hypergeometric functions, Applied Mathematics and Information Sciences, 8 (5) (2014), 2315-2320.
  • H. M. Srivastava, H. L. Manocha, A treatise on generating functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1984.
  • A. M. Mathai, R.K. Saxena, H.J. Haubold, The H-Function Theory and Applications, Springer-Verlag New York, 2010.
  • A. K. Shukla, J. C. Prajapati, On a generalization of Mittag-Leffler function and its properties, Journal of Mathematical Analysis and Applications, 336 (2007), 797-811.
  • I. N. Sneddon, The Use of Integral Transforms, Tata McGraw-Hill, New Delhi, India, 1979.
  • A. Dixit, V. H. Moll, The integrals in Gradshteyn and Ryzhik. Part 28: The confluent hypergeometric function and Whittaker functions, Series A: Mathematical Sciences, 26 (2015), 49-61.
Yıl 2019, Sayı: 28, 53 - 61, 07.05.2019

Öz

Kaynakça

  • A. A. Al-Gonah, W.K. Mohammed, A new extension of extended Gamma and Beta functions and their properties, Journal of Scientific and Engineering Research, 5 (9) (2018), 257-270
  • T.R. Prabhakar, A singular integral equation with a Generalized Mittag-Leffler Function in the Kernel}, Yokohama Mathematical Journal, 19 (1971), 7-15.
  • E. Özergin, Some properties of hypergeometric functions}, PhD dissertation, Eastern Mediterranean University (2011), North Cyprus, Turkey.
  • M. A. Chaudhry, A. Qadir, M. Rafique, S. M. Zubair, Extension of Euler's Beta Function, Journal of Computational and Applied Mathematics, 78 (1997), 19-32.
  • M. A. Chaudhry, S. M. Zubair, \emph{Generalized incomplete gamma functions with applications}, Journal of Computational and Applied Mathematics, 55 (1994), 99-124.
  • M. S. Shadab, S. J. Jabee, J. C. Choi, An extended Beta function and its applications, Far East Journal of Mathematical Sciences, 103 (2018), 235-251.
  • P. I. Pucheta, A new extended beta function, International Journal of Mathematics And its Applications, 5 (3-c) (2017), 255-260.
  • P. Agarwal, Certain properties of the generalized Gauss hypergeometric functions, Applied Mathematics and Information Sciences, 8 (5) (2014), 2315-2320.
  • H. M. Srivastava, H. L. Manocha, A treatise on generating functions, Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto, 1984.
  • A. M. Mathai, R.K. Saxena, H.J. Haubold, The H-Function Theory and Applications, Springer-Verlag New York, 2010.
  • A. K. Shukla, J. C. Prajapati, On a generalization of Mittag-Leffler function and its properties, Journal of Mathematical Analysis and Applications, 336 (2007), 797-811.
  • I. N. Sneddon, The Use of Integral Transforms, Tata McGraw-Hill, New Delhi, India, 1979.
  • A. Dixit, V. H. Moll, The integrals in Gradshteyn and Ryzhik. Part 28: The confluent hypergeometric function and Whittaker functions, Series A: Mathematical Sciences, 26 (2015), 49-61.
Toplam 13 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Ahmed Ali Al-gonah Bu kişi benim

Waleed Khadher Mohammed Bu kişi benim

Yayımlanma Tarihi 7 Mayıs 2019
Gönderilme Tarihi 8 Ekim 2018
Yayımlandığı Sayı Yıl 2019 Sayı: 28

Kaynak Göster

APA Al-gonah, A. A., & Mohammed, W. K. (2019). Integral Transforms for the New Generalized Beta Function. Journal of New Theory(28), 53-61.
AMA Al-gonah AA, Mohammed WK. Integral Transforms for the New Generalized Beta Function. JNT. Mayıs 2019;(28):53-61.
Chicago Al-gonah, Ahmed Ali, ve Waleed Khadher Mohammed. “Integral Transforms for the New Generalized Beta Function”. Journal of New Theory, sy. 28 (Mayıs 2019): 53-61.
EndNote Al-gonah AA, Mohammed WK (01 Mayıs 2019) Integral Transforms for the New Generalized Beta Function. Journal of New Theory 28 53–61.
IEEE A. A. Al-gonah ve W. K. Mohammed, “Integral Transforms for the New Generalized Beta Function”, JNT, sy. 28, ss. 53–61, Mayıs 2019.
ISNAD Al-gonah, Ahmed Ali - Mohammed, Waleed Khadher. “Integral Transforms for the New Generalized Beta Function”. Journal of New Theory 28 (Mayıs 2019), 53-61.
JAMA Al-gonah AA, Mohammed WK. Integral Transforms for the New Generalized Beta Function. JNT. 2019;:53–61.
MLA Al-gonah, Ahmed Ali ve Waleed Khadher Mohammed. “Integral Transforms for the New Generalized Beta Function”. Journal of New Theory, sy. 28, 2019, ss. 53-61.
Vancouver Al-gonah AA, Mohammed WK. Integral Transforms for the New Generalized Beta Function. JNT. 2019(28):53-61.


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