On Certain Linear, Bilinear and Bilateral Hypergeometric Generating Relations
Tóm tắt
This paper contains mainly three theorems involving generating functions expressed in terms of single and double Laplace and Beta integrals.The theorems, in turn, yield, as special cases, a number of linear, bilinear and bilateral generating functions of generalized polynomials of Rice, Jacobi, Ultraspherical, Generalized Laguerre and other polynomials hypergeometric in nature. One variable special cases of generalized polynomials are useful in several applied problems.
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