The Journal of the Indian Mathematical Society

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Generating Function of some Biorthogonal Polynomials Involving Stirling Numbers of Second Kind


Affiliations
1 Mudhoji College, Phaltan (M.S.), India
2 Y.C. Institute of Science, Satara (M.S.), India
     

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In 1982 Madhekar and Thakare defined and studied a pair of biorthogonal polynomials {Jn(α, β, k; x)} and {Kn(α, β, k; x)} with respect to Jacobi weight function (1-x)α (1+x)β over the interval (-1, 1) where α > -1; β > -1 and k is positive integer. In the present paper some generating functions of biorthogonal polynomials of second set {Kn(α, β, k; x)} involving Stirling numbers of second kind are obtained by using Srivastava's method and some particular cases are also noted.

Keywords

Jacobi Weight Function, Biorthogonal Polynomials, Generating Function, Stirling Number.
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  • Generating Function of some Biorthogonal Polynomials Involving Stirling Numbers of Second Kind

Abstract Views: 274  |  PDF Views: 0

Authors

N. M. Kavathekar
Mudhoji College, Phaltan (M.S.), India
T. B. Jagtap
Y.C. Institute of Science, Satara (M.S.), India

Abstract


In 1982 Madhekar and Thakare defined and studied a pair of biorthogonal polynomials {Jn(α, β, k; x)} and {Kn(α, β, k; x)} with respect to Jacobi weight function (1-x)α (1+x)β over the interval (-1, 1) where α > -1; β > -1 and k is positive integer. In the present paper some generating functions of biorthogonal polynomials of second set {Kn(α, β, k; x)} involving Stirling numbers of second kind are obtained by using Srivastava's method and some particular cases are also noted.

Keywords


Jacobi Weight Function, Biorthogonal Polynomials, Generating Function, Stirling Number.

References