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Bilinear and bilateral generating functions of heat type polynomials suggested by Jacobi polynomials

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The present paper deals with generalization of several families of bilinear and bilateral generating functions for the heat type polynomials suggested by Jacobi polynomials with different argument.

Abstract

The present paper deals with generalization of several families of bilinear and bilateral generating functions for the heat type polynomials suggested by Jacobi polynomials with different argument.

참고문헌 (10)

  1. M. A. Khan, "A note on heat type polynomials suggested by Jacobi polynomials", Communicated for publication
  2. M. A. Khan, "Linear, bilinear and trilinear generating functions for heat type polynomials suggested by Jacobi polynomils", Communicated for publication
  3. E. D. Rainville, "reprinted by Chelsea Publishing Company" (1971), Bronx
  4. S. Saran, "ypergeometric functions of three variables", Ganita, 5, pp.77~91 (1954)
  5. B. L. Sharma, "Some generating functions of Jacobi polynomials", Mat. Vesnik, 6(21), pp.403~407 (1969)
  6. H. M. Srivastava, "A class of bilateral generating functions for the Jacobi polynomials", J. Korean Math. Soc, 8, pp.25~30 (1971)
  7. H. M. Srivastava, "Generalized Neumann expansion involving hypergeometric functions", Proc. Cambridge Philos. Soc, 63, pp.425~429 (1967)
  8. H. M. Srivastava, "Some generating functions for the Jacobi polyno- mials", Comment. Math. Univ. St. Paul, 20, pp.15~21 (1971)
  9. H. M. Srivastava, "A Treatise on Generating Functions" (1984), Halsted Press
  10. H. M. Srivastava, "Certain generating functions for Jacobi, Laguerre, and Rice polynomials", Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys, 20, pp.355~363 (1972)

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