ON AN EXPANSION FORMULA FOR THE MULTIVARIABLE -FUNCTION INVOLVING GENERALIZED LEGENDRE’S ASSOCIATED FUNCTION

Authors

  • Yashwant Singh Department of Mathematics,GovernmantCollege Kaladera,Jaipur(Rajasthan), INDIA
  • Harmendra Kumar Mandia Department of Mathematics,Seth Motilal (P.G.) College, Jhunjhunu(Rajasthan), INDIA

DOI:

https://doi.org/10.29121/granthaalayah.v4.i1.2016.2843

Keywords:

Multivariable -Function, Generalized Legendre’s Associated Function

Abstract [English]

The authors have established a new expansion formula for multivariable -function due to Prasad [5] in terms of products of the multivariable -function and the generalized Legendre’s associated function due to Meulenbeld [3]. Some special cases are given in the last.

Downloads

Download data is not yet available.

References

Anandani, P.; An expansion for the -function involving generalized Legendre’s associated functions, Glasnik Mat. Tome 5 (25), No.1 (1970), 127-136.

Carslaw, H.S.; Introduction to the Theory of Fourier’s Series and Integrals, Dover Publication Inc., New York (1950).

Meulendbeld, B.; Generalized Legendre’s associated functions for real values of the argument numerically less than unity, Nederl. Akad. Wetensch Proc. Ser. A61 (1958), 557-563. DOI: https://doi.org/10.1016/S1385-7258(58)50080-8

Meulendbeld, B. and Robin, L.; Nouveaux resultats aux functions de Legendre’s generalisees, Nederl. Akad. Wetensch. Proc. Ser. A 64(1961), 333-347 DOI: https://doi.org/10.1016/S1385-7258(61)50034-0

Prasad, Y.N.; On a multivariable -function, VijnanaParishadAnuusandhanPatrika, vol.29(4),(1986), 231-235.

Saxena, R.K. and Ramawat, A.; An expansion formula for the multivariable -function invoving generalized Legendre’s associated function, Jnanabha, vol. 22(1992),157-164.

Srivastava, H.M., Gupta, K.C. and Goyal, S.P.; The -functions of One and Two Variables with Applications, South Asian Publishers, New Delhi and Madras (1982).

Downloads

Published

2016-01-31

How to Cite

Singh, Y., & Kumar Mandia, H. (2016). ON AN EXPANSION FORMULA FOR THE MULTIVARIABLE -FUNCTION INVOLVING GENERALIZED LEGENDRE’S ASSOCIATED FUNCTION. International Journal of Research -GRANTHAALAYAH, 4(1), 55–62. https://doi.org/10.29121/granthaalayah.v4.i1.2016.2843