Some Inequalities for the Beta Function

Authors

  • B. Ravi
  • A. Venkat Lakshmi

Abstract

In this paper we establish some inequalities involving the Euler
beta function. We use the ideas and methods that were used by A. McD. Mercer in his paper [1] for Bessel functions.

References

[1] A. McD. Mercer. Integral representations and inequalities for Bessel functions, Saim J. Math. Anal., 8(3)(1977), 486-490.

[2] M. A. Chaudary, A. Qadir, M. Rafique and S. M. Zubair. Extension of Euler's beta function, J. Comput. Appl. Math., 78(1)(1997),19-32.

[3] M. A. Chaudary abd S. M. Zubair. Generalized incomplete gamma function with applications, J. Comput. Appl. Math., 55(1)(1994), 99-123.

[4] D. M. Lee, A. K. Rathie, R. K. Parmar and Y. S. Kim. Generalization of extended beta function, hypergeometric and conuent hypergeometric function, Honam Mathematical J.,
33(2)(2011), 187-206.

[5] E. D. Rainville. Special functions, Macmillan Company, New York, 1960.

Published

2017-04-09

Issue

Section

Чланци