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A theorem concerning a product of two general classes of polynomials and the multivariableH-function

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Abstract

A theorem concerning a product of two general classes of polynomials and the multivariableH-function is established. Certain integrals and expansion formulae have also been derived by the application of this theorem. This general theorem yields a number of new, interesting and useful theorems, integrals and expansion formulae as its particular cases.

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References

  1. Chaurasia, V B L, A theorem concerning the multivariableH-function.Bull. Inst. Math. Acad. Sinica. 13 (2) (1985) 193–196

    MATH  MathSciNet  Google Scholar 

  2. Chaurasia V B L and Sharma R P, A theorem concerning a product of general class of polynomials and theH-function of several complex variables.Proc. Indian Acad. Sci. (Math. Sci.) 105(3) (1995) 291–296

    Article  MATH  MathSciNet  Google Scholar 

  3. Rainville E D,Special functions (New York: Chelsea Pub. Comp.) (1960)

    MATH  Google Scholar 

  4. Slater L J, Generalized hypergeometric function (Cambridge Univ. Press) (1966)

  5. Srivastava H M, A contour integral involving Fox'sH-function.Indian J. Math. 14 (1972) 1–6

    MATH  MathSciNet  Google Scholar 

  6. Srivastava H M and Panda R, Some bilateral generating functions for a class of generalized hypergeometric polynomials.J. Reine. Angew. Math. 283/284 (1976) 265–274

    MathSciNet  Google Scholar 

  7. Srivastava H M and Singh N P, The integration of certain products of the multivariableH-function with a general class of polynomials.Rendicontidel Circolo Mathematic di Palermo Ser. II(32) (1983) 157–187

    Article  MathSciNet  Google Scholar 

  8. Srivastava H M, Gupta K C and Goyal S P, TheH-function of one and two variables with applications (New Delhi, Madras: South Asia Publ.) (1982)

    Google Scholar 

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Chaurasia, V.B.L., Gupta, M. A theorem concerning a product of two general classes of polynomials and the multivariableH-function. Proc. Indian Acad. Sci. (Math. Sci.) 107, 271–276 (1997). https://doi.org/10.1007/BF02867258

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  • DOI: https://doi.org/10.1007/BF02867258

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