Results 31 to 40 of about 2,744 (114)
OPERATIONAL IDENTITIES ON GENERALIZED TWO-VARIABLE CHEBYSHEV POLYNOMIALS
, 2015 We use the concepts and the formalism of the generalized, m-order, two-variable Hermite polynomials of type H (m) n (x, y) in order to derive integral representations of a generalized family of Chebyshev polynomials.
C. Cesarano, C. Fornaro
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A note on monotonicity property of Bessel functions
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 561-566, 1997., 1997 A theorem of Lorch, Muldoon and Szegö states that the sequence is decreasing for α > −1/2, where Jα(t) the Bessel function of the first kind order α and jα,k its kth positive root. This monotonicity property implies Szegö′s inequality , when α ≥ α′ and α′ is the unique solution of .
Stamatis Koumandos
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Fourier transform of hn(x + p)hn(x − p)
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 613-615, 1997., 1996 We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Mourad E. H. Ismail, Krzystztof Stempak
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Transformations of certain generalized Kampé de Fériet functions II
International Journal of Stochastic Analysis, Volume 10, Issue 3, Page 297-304, 1997., 1996 The development of identities of multivariable hypergeometric functions is further extended based upon the methods of the previous study (H. Exton, J. Phys. A29 (1996), 357‐363) these functions occur in various applications in the fields of physics and quantum chemistry.
Harold Exton
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An extension of generalized Apostol-Euler polynomials
, 2013 Recently, Tremblay, Gaboury and Fugère introduced a class of the generalized Bernoulli polynomials (see Tremblay in Appl. Math. Let. 24:1888-1893, 2011).
Si Chen, Yichang Cai, Qiu-Ming Luo
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Generating new classes of orthogonal polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 643-656, 1996., 1994 Given a sequence of monic orthogonal polynomials (MOPS), {Pn}, with respect to a quasi‐definite linear functional u, we find necessary and sufficient conditions on the parameters an and bn for the sequence to be orthogonal. In particular, we can find explicitly the linear functional v such that the new sequence is the corresponding family of orthogonal
Amílcar Branquinho +1 more
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Umbral Methods and Harmonic Numbers
Axioms, 2018 The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli +3 more
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Some relations involving a generalized fractional derivative operator
, 2013 Recently, Katugampola (Appl. Math. Comput. 218:860-865, 2011) studied a special case of the Erdélyi-Kober generalized fractional derivative. This special case generalized the well-known Riemann-Liouville and the Hadamard fractional integrals into a ...
S. Gaboury, R. Tremblay, B. Fugère
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New generating functions for multivariate biorthogonal polynomials on the N‐sphere
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 85-90, 1995., 1994 Certain multivariate biorthogonal polynomials on the N‐sphere arise in connection with quantum chromodynamics. These functions can be expressed in terms of Lauricella functions of the first kind, and multi‐dimensional generating functions for them are deduced by means of an extension of Bailey′s theorem.
Harold Exton
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2D-Sheffer-Mittag-Leffler polynomials: properties and examples
Journal of Classical Analysis, 2019 In this work, the 2D-Sheffer polynomials and the Mittag-Leffler polynomials are combined to introduce the family of the 2D-Sheffer-Mittag-Leffler polynomials.
Subuhi Khan +2 more
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