Results 41 to 50 of about 163 (124)
Linearization and connection formulae involving squares of Gegenbauer polynomials
, 2001 7 pages, no figures.-- MSC2000 code: 33C45.MR#: MR1820610 (2003c:33014)Zbl#: Zbl 0978.33003Several linearization-like and connection-like formulae relating the classical Gegenbauer polynomials and their squares are obtained using a theorem of the theory ...
Sánchez-Ruiz, Jorge, Sánchez-Ruiz, J.
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Some generalizations of the Jacobsthal numbers
, 2010 The main object of this paper is to introduce and investigate some proper- ties and relations involving sequences of numbers Fn,m(r), for m = 2, 3, 4, and r is some real number.
Gospava Djordjevic
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Demonstratio MathematicaThe main goal of the present study is to introduce an operational collocation scheme based on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems involving a variable-order dynamical system (VODS). To achieve this goal,
Sadri Khadijeh +5 more
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Integral Representations of Functional Series with Members Containing Jacobi Polynomials [PDF]
, 2012 MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi ...
Jankov, Dragana, Pogany, Tibor K.
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Sobolev orthogonal polynomials in the complex plane [PDF]
, 2001 12 pages, no figures.-- MSC2000 codes: 42C05, 33C45.MR#: MR1808575 (2001j:30006)Zbl#: Zbl 0973.42015Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev
López Lagomasino, Guillermo +6 more
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A new perspective on generalized Laguerre polynomials
Demonstratio MathematicaThis article introduces two-variable polynomials constructed with generalized Laguerre polynomials. The study focuses on deriving generating function relationships, establishing closed-form summation formulas, and proving a symmetry identity for the ...
Erkuş-Duman Esra
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Meta algebras and biorthogonal rational functions: The Hahn case
Forum of Mathematics, SigmaThe finite families of biorthogonal rational functions and orthogonal polynomials of Hahn type are interpreted algebraically in a unified way by considering the three-generated meta Hahn algebra and its finite-dimensional representations.
Satoshi Tsujimoto +2 more
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Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions [PDF]
, 2004 20 pages, no figures.-- MSC2000 codes: 33C45, 33A65, 42C05.MR#: MR2061464 (2005b:33007)Zbl#: Zbl 1089.33005We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures.
Marcellán, Francisco +11 more
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Nuclear Physics BThis article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
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Characterization of the Dᵂ-Laguerre-Hahn functionals [PDF]
, 2002 29 pages, no figures.-- MSC2000 codes: 33C45, 39A10.MR#: MR1914598 (2003e:33021)Zbl#: Zbl 1021.33007We give some characterization theorems for the DᵂLaguerre-Hahn linear functionals and we extend the concept of the class of the usual Laguerre-Hahn ...
Foupouagnigni, M. +4 more
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