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Multiple Gaussian hypergeometric series
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A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials
The polynomial sets {Y"(x; k)} and { Z"(x; &)}, discussed by Joseph D. E. Konhauser, are biorthogonal over the interval (0, oo) with respect to the weight function x a e~ x , where a > — 1 and A: isExpand
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Some generalizations of the Apostol–Bernoulli and Apostol–Euler polynomials
Abstract The main object of this paper is to give analogous definitions of Apostol type (see [T.M. Apostol, On the Lerch Zeta function, Pacific J. Math. 1 (1951) 161–167] and [H.M. Srivastava, SomeExpand
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The H function associated with a certain class of Feynman integrals
Motivated by some further examples of the use of Feynman integrals which arise in perturbation calculations of the equilibrium properties of a magnetic model of phase transitions, a generalization ofExpand
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Linear operators associated with k-uniformly convex functions
In terms of the Hadmard product (or convolution), define the operator by , where the function f is analytic in the unit disk. The classes of k-uniformly convex and k-starlike functions , denoted by ,Expand
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The Hardy Space of Analytic Functions Associated with Certain One-Parameter Families of Integral Operators
Abstract Recently, H. M. Srivastava and S. Owa [J. Math. Anal, Appl.118 (1986), 80-87] proved a number of results relevant to Komatu′s conjectures (cf. Y. Komatu [Bull. Fac. Sci. Engrg. Chuo Univ.Expand
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A new class of analytic functions defined by means of a convolution operator involving the Hurwitz–Lerch Zeta function
In this paper, we investigate a new class of analytic functions defined by the convolution operator J s, b (f) involving the Hurwitz–Lerch Zeta function, which was introduced recently by H. M.Expand
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Applications of fractional calculus to parabolic starlike and uniformly convex functions
Let A be the class of analytic functions in the open unit disk U. Given 0 ≤ λ < 1, let Ωλ be the operator defined on A by (ωλf)(z)=Γ(2-λ)zλDλzf(z) , where Dλzf is the fractional derivativeExpand
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A class of polynomials defined by generalized Rodrigues’ formula
SummaryThe present paper incorporates a systematic study of linear, bilinear and bilateral generating functions, pure as well as mixed recurrence relations, and the differential equations associatedExpand
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