Double Dirichlet Average of cosh x and Fractional Derivative

Authors

  • Mohd. Farman Ali School of Mathematics and Applied Sciences, Jiwaji University, Gwalior, Address
  • Renu Jain School of Mathematics and Applied Sciences, Jiwaji University, Gwalior, Address
  • Manoj Sharma Department of Mathematics RJIT, BSF Academy, Tekanpur, Address

DOI:

https://doi.org/10.37591/rrdms.v2i2.416

Keywords:

Dirichlet average,

Abstract

In this paper we derive the some results of Double Dirichlet average of

Author Biography

  • Mohd. Farman Ali, School of Mathematics and Applied Sciences, Jiwaji University, Gwalior, Address
    somaas

References

Carlson, B.C. Special Function of Applied Mathematics. Academic Press, New York. 1977.

Carlson, B.C. Appell’s function F4 as a double average. SIAM J.Math. Anal. 1975; 6: 960–965p.

Carlson, B.C. Hidden symmetries of special functions. SIAM Rev. 1970; 12: 332–345p.

Carlson, B.C. Dirichlet averages of x t log x. SIAM J.Math. Anal. 1987; 18(2): 550–565p.

Carlson, B.C. A connection between elementary functions and higher transcendental functions. SIAM J. Appl. Math. 1969; 17: 116–140p.

Deora, Y. and Banerji, P.K. Double Dirichlet average of ex using fractional derivatives. J. Fractional Calculus. 1993; 3: 81–86p.

Deora, Y. and Banerji, P.K. Double Dirichlet average and fractional derivatives. Rev.Tec.Ing.Univ. Zulia. 1993; 16(2): 157–161p.

Erdelyi, A., Magnus, W., Oberhettinger, F. and Tricomi , F.G. Tables of Integral Transforms. McGraw-Hill, New York. 1954; 2.

Gupta, S. C. and Agrawal, B. M. Dirichlet average and fractional derivatives. J. Indian Acad.Math. 1990; 12(1): 103–115p.

Gupta, S. C. and Agrawal. Double Dirichlet average of ex using fractional derivatives. Ganita Sandesh. 1991; 5 (1): 47–52p.

Mathai, A. M. and Saxena, R. K. The H-Function with Applications in Stastistics and other Disciplines. Wiley Halsted, New York. 1978.

Saxena, R. K., Mathai, A. M and Haubold, H. J. Unified fractional kinetic equation and a fractional diffusion equation. J. Astrophysics and Space Science. 2004; 209: 299–310p.

Sharma, M. and Jain, R. Double Dirichlet Average of

Sharma, Manoj and Jain, Renu. Dirichlet Average of

Kilbas, A., A. and Kattuveetti, Anitha. Representations of Dirichlet Averages of Generalized Mittag-Leffler Function Viafractional Integrals and Special Functions. FCAA. 2008; 1(4): 471–492p.

Published

2015-06-29

Issue

Section

Research Articles