Results 31 to 40 of about 1,179 (264)
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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Identities of Symmetry for Generalized Euler Polynomials [PDF]
International Journal of Combinatorics, 2011 We derive eight basic identities of symmetry in three variables related to generalized Euler polynomials and alternating generalized power sums. All of these are new, since there have been results only about identities of symmetry in two variables. The derivations of identities are based on the -adic fermionic integral expression of the generating ...
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On Generalized Derivations and Commutativity of Associative Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let be a ring with center Z(). A mapping f : → is said to be strong commutativity preserving (SCP) on if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on if f (x) ◦ f (y) = x ◦ y for all x, y ∈.
Sandhu Gurninder S. +2 more
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General convolution identities for Bernoulli and Euler polynomials
Journal of Mathematical Analysis and Applications, 2016 Using general identities for difference operators, as well as a technique of symbolic computation and tools from probability theory, we derive very general kth order (k \ge 2) convolution identities for Bernoulli and Euler polynomials. This is achieved by use of an elementary result on uniformly distributed random variables.
Ditcher, Karl, Vignat, Christophe
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Polynomial Generalizations of Two-Variable Ramanujan Type Identities [PDF]
The Electronic Journal of Combinatorics, 2011 We provide finite analogs of a pair of two-variable $q$-series identities from Ramanujan's lost notebook and a companion identity.
McLaughlin, James, Sills, Andrew
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Sequences of Numbers Meet the Generalized Gegenbauer-Humbert Polynomials [PDF]
, 2011 Here we present a connection between a sequence of numbers generated by a linear recurrence relation of order 2 and sequences of the generalized Gegenbauer-Humbert polynomials.
Tian-Xiao He +5 more
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Generalized Horadam-Leonardo Numbers and Polynomials
, 2023 In this study, we define and investigate some linear third order polynomials called the generalized Horadam-Leonardo polynomials (with its two special cases, namely), (r, s)-Horadam-Leonardo and (r, s)-Horadam-Leonardo-Lucas polynomials.
Yüksel Soykan, Soykan, Yüksel
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Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 Burchnall's method to invert the Feldheim-Watson linearization formula for the Hermite polynomials is extended to all polynomial families in the Askey-scheme and its $q$-analogue. The resulting expansion formulas are made explicit for several families corresponding to measures with infinite support, including the Wilson and Askey-Wilson polynomials. An
Ismail, M.E.H. +4 more
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On Generalized Functional Identities on Prime Rings
, 1998 In the present paper we study generalized functional identities involving multi-additive functions. Our results simultaneously generalize Martindale's theorem on prime rings with generalized polynomial identities and Brešar's results on generalized ...
Chebotar, M.A.
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On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2
International Journal of Mathematics and Mathematical Sciences, 2009 Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
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