Expansion Formulas for I-Function
Abstract
The object of this paper is to establish derivatives involving I-function of two variables and employ it to obtain expansion formulas for the I-function of two variables involving Struve's function. Some interesting special cases are pointed out.Downloads
References
Erdelyi. A., Higher Transcendental Functions, Vol. I, McGraw-Hill Book Company, New York. (1953).
Fox. C., The G and H-functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc. 98(1961), 395-429.
Goyal. S.P., The H-function of two variables, Kyungpook Math. J., 15(1)(1975), 117-131.
Gupta.K.C. and Jain. U.C., On the derivative of the H-function, Proc. Nat. Acad. Sci. India. Sect. A 38(1968), 189-192.
Kanth, B. N, Jour. Inst. Sci., Nepal, 3(1) (1980), p.99.
Mathai. A.M., Saxena.R.K and Haubold. H.J., The H-function, Theory and Applications, Springer, (2009).
Mittal. P.K. and Gupta. K.C., An integral involving generalized function of two variables, Proc. Indian Acad. Sci. sect. A.75(1972), 117-123.
Nair. V.C., Differentiation formulae for the H-Function I, Math. Student, 40A(1972), 74-78.
Pragathi Kumar Y, Lam Prakas and Satyanarayana B., Derivatives involving I-function of two variables and general class of polynomials, (Communicated)
Rainville. E.D., Special Functions, Macmillan Publishers, New York, (1963).
Rathie Arjun K., A new generalization of generalized hypergeometric functions, Le Mathematiche, LII. Fasc.II(1997), 297-310.
Shantha Kumari. K, Vasudevan Nambisan T.M. and Arjun K. Rathie, A study of I-function of two variables, arXiv:1212.6717v1[math.CV], 30 Dec., 2012.
Shantha Kumari K and Vasudevan Nambisan T.M., On certain derivatives of the I-function of two variables, International Journal of Science, Environment, 2 (2013), 772-778.
Sharma R.P., On a new theorem involving the H-function and general class of polynomials, Kyungpook Math. J, 43(2003), 489-494.
Vishwa Mohan Vyas and Arjun K Rathie, A study of I-function – II, Vijnana Parishad Anusandhan Patrika, Vol.41, 4(1998), 253-257.
Copyright (c) 2015 Journal of Progressive Research in Mathematics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.