DISCRETE AND PSEUDO ORTHOGONALITY FOR A CLASS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS

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Published: Dec 1, 1997
DOI: https://doi.org/10.5556/j.tkjm.28.1997.4311
Keywords:
Discrete orthogonality pesudo orthogonality generalized hyper­ geometric functions Laguerre polynomials a modified Jacobi polynomials

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MAYA LAHIRI
Section of Mathematics, Mahila Mahavidyalaya, Banar邸 Hindu University, Varan函 221 005, Uttar Pradesh, India.
BAVANARI SATYANARAYANA
Department of Mathematics, Nagarjuna University, Post-Graduate Centre, Ongole 523 001, Andhra Pradesh, India.

Abstract




In his Ph. D. thesis [11] Satyanarayana defined and studied the generalized hypergeo­ metric functions $I_n^\alpha(x,w)$ and $H_n^\alpha(x,w).$ In the present paper we consider discrete orthogonality for $I_n^\alpha(x,w)$ and pseudo orthogonality for $H_n^\alpha(x,w)$. We also obtain some interesting applications of the results of our investigation.




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How to Cite
LAHIRI, M., & SATYANARAYANA, B. (1997). DISCRETE AND PSEUDO ORTHOGONALITY FOR A CLASS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS. Tamkang Journal of Mathematics, 28(4), 325–332. https://doi.org/10.5556/j.tkjm.28.1997.4311
Issue
Vol. 28 No. 4 (1997)
Section
Papers
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References

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