Results 71 to 80 of about 246 (165)
Linearly-invariant families and generalized Meixner–Pollaczek polynomials [PDF]
, 2013 The extremal functions \(f_0(z)\) realizing the maxima of some functionals (e.g. \(\max|a_3|\), and \(\max{arg f^{'}(z)}\)) within the so-called universal linearly invariant family \(U_\alpha\) (in the sense of Pommerenke [10]) have such a form that \(
Naraniecka, Iwona +2 more
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Gulf Journal of Mathematics, 2023 In this paper, a class Gη_1,η_2β(α,t), consisting of Bazilevic functions of type α and involving a certain generalized differential operator is defined by means of Gegenbauer polynomials. Initial coefficient bounds and Fekete-Szego estimates for functions belonging to this class are obtained.
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A Non‐Standard Coupling Between Quantum Systems Originated From Their Kinetic Energy
Annalen der Physik, Volume 536, Issue 3, March 2024.A novel approach to quantum coupling is introduced, departing from the conventional potential‐based interaction in standard quantum mechanics. Within this framework, a quantum coupling emerges from the inherent kinetic energy of particles. This unorthodox coupling results in the transformation of quantum mechanics' fundamental landscape through the ...
Tomer Shushi
wiley +1 more source
A Study of Symmetric q-Dunkl-Classical Orthogonal q-Polynomials Through a Second Structure Relation [PDF]
This paper establishes a new characterization of symmetric q-Dunkl-classical orthogonal polynomials through a second structure relation. These symmetric polynomials generalize the q2-analogues of Hermite and Gegenbauer polynomials.
Khalid Ali Alanezy, Jihad Souissi
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Journal of Mathematical Analysis and Applications, 1990 The object of this paper is to present simpler proofs of the various generalizations of some interesting results on bilateral generating functions which were derived recently by \textit{P. N. Shrivastava} and \textit{B. Kaur} [J. Indian. Math. Soc., New Ser. 49(1987), 179-183 (1985; Zbl 0642.33022)] using group-theoretic methods.
Hubbell, John H, Srivastava, H.M
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NEW COMPACTLY SUPPORTED SCALING AND WAVELET FUNCTIONS DERIVED FROM GEGENBAUER POLYNOMIALS [PDF]
, 2008 A new family of scaling and wavelet functions is introduced, which is derived from Gegenbauer polynomials. The link of ordinary 2nd order differential equations to multiresolution filters is employed to construct these new functions.
core
Some expansions for a class of generalized Humbert matrix polynomials [PDF]
, 2019 The paper is an accomplishment of a new 3-variable 4-parameter generating function for Humbert matrix polynomials with an approach of unifying several classes of matrix valued polynomials using standard techniques of series manipulation.
Haroon, Hiba +5 more
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About Chebyshev polynomials and their generalization [PDF]
, 2020 El documento busca cimentar las teorías básicas que requieren el entendimiento del artículo de Clemente Cesarano, Generalized Chebyshev polynomials, y con estas entender la relación entre los polinomios de Chebyshev y los polinomios de Gegenbauer.The ...
Vargas Duanca, Juan Carlos
core
Two-dimensional unsteady waves in an electromagnetoelastic sphere
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 The propagation of unsteady kinematic or electromagnetic perturbations in an isotropic ball given on its surface has been studied. Along with the Maxwell equations and the linearized Ohm's law, we have studied the linear equations of motion for an ...
V.A. Vestyak, D.V. Tarlakovskii
doaj
Connection Problem for Sums of Finite Products of Chebyshev Polynomials of the Third and Fourth Kinds [PDF]
, 2018 This paper treats the connection problem of expressing sums of finite products of Chebyshev polynomials of the third and fourth kinds in terms of five classical orthogonal polynomials.
Dmitry Victorovich Dolgy +3 more
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