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New Extension of Beta Function and Its Applications

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  • Mehar Chand
  • Hanaa Hachimi
  • Rekha Rani

Abstract

In the present paper, new type of extension of classical beta function is introduced and its convergence is proved. Further it is used to introduce the extension of Gauss hypergeometric function and confluent hypergeometric functions. Then we study their properties, integral representation, certain fractional derivatives, and fractional integral formulas and application of these functions.

Suggested Citation

  • Mehar Chand & Hanaa Hachimi & Rekha Rani, 2018. "New Extension of Beta Function and Its Applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-25, December.
    • Handle: RePEc:hin:jijmms:6451592
    DOI: 10.1155/2018/6451592
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    References listed on IDEAS

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    1. Saxena, R.K. & Mathai, A.M. & Haubold, H.J., 2004. "On generalized fractional kinetic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 657-664.
    2. Simsek, Yilmaz, 2015. "Beta-type polynomials and their generating functions," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 172-182.
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