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Displaying 1801 – 1820 of 2028

Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey

Mainardi, Francesco, Gorenflo, Rudolf (2007)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classica theory of linear viscoelasticity, we contrast these two types of fractiona derivatives in their ability to take into...

Toeplitz Arrays, Linear Sequence Transformations and Orthogonal Polynomials.

J. Wimp (1974/1975)

Numerische Mathematik

Topics on Meixner families

Marek Bożejko, Nizar Demni (2010)

Banach Center Publications

We shed some light on the inter-connections between different characterizations leading to the classical Meixner family. This allows us to give free analogs of both Sheffer's and Al-Salam and Chihara's characterizations in the classical case by the use of the free derivative operator. The paper closes with a discussion of the q-deformed case, |q| < 1.

Total characters and Chebyshev polynomials.

Poimenidou, Eirini, Wolfe, Homer (2003)

International Journal of Mathematics and Mathematical Sciences

Towards finite-gap integration of the Inozemtsev model.

Takemura, Kouichi (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Transcendance de périodes d'intégrales elliptiques

Michel Laurent (1978/1979)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Transcendance de valeurs de la fonction gamma

Daniel Bertrand (1975/1976)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Transcendance et lois de groupes algébriques

Daniel Bertrand (1976/1977)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Transcendental values of the p-adic digamma function

M. Ram Murty, N. Saradha (2008)

Acta Arithmetica

Transcendentality of zeros of higher derivatives of functions involving Bessel functions.

Lorch, Lee, Muldoon, Martin E. (1995)

International Journal of Mathematics and Mathematical Sciences

Transference for hypergroups.

Giacomo Gigante (2001)

Collectanea Mathematica

A transference theorem for convolution operators is proved for certain families of one-dimensional hypergroups.

Transformation formulas for terminating Saalschützian hypergeometric series of unit argument.

Bühring, Wolfgang (1995)

Journal of Applied Mathematics and Stochastic Analysis

Transformation of an infinite series of Fox's H-function

Bajpai, S.D. (1970)

Portugaliae mathematica

Transformation properties of the generalized Muirhead operators

Adam Korányi (1990)

Colloquium Mathematicae

Transformations of certain generalized Kampé de Fériet functions. II.

Exton, Harold (1997)

Journal of Applied Mathematics and Stochastic Analysis

Transplanting Maximal Inequalities Between Laguerre and Hankel Multipliers.

Krzysztof Stempak (1996)

Monatshefte für Mathematik

Transzendenzeigenschaften von Perioden elliptischer Integrale.

G. Wüstholz (1984)

Journal für die reine und angewandte Mathematik

Tridiagonal symmetries of models of nonequilibrium physics.

Aneva, Boyka (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Truncating binomial series with symbolic summation.

Paule, Peter, Schneider, Carsten (2007)

Integers

Truncations of Gauss' square exponent theorem

Ji-Cai Liu, Shan-Shan Zhao (2022)

Czechoslovak Mathematical Journal

We establish two truncations of Gauss’ square exponent theorem and a finite extension of Euler’s identity. For instance, we prove that for any positive integer $n$ , $\sum_{k = 0}^{n} {(- 1)}^{k} [\begin{matrix} 2 n - k \\ k \end{matrix}] {(q; q^{2})}_{n - k} q^{(\binom{k + 1}{2})} = \sum_{k = - n}^{n} {(- 1)}^{k} q^{k^{2}},$ where $[\begin{matrix} n \\ m \end{matrix}] = \prod_{k = 1}^{m} \frac{1 - q^{n - k + 1}}{1 - q^{k}} and {(a; q)}_{n} = \prod_{k = 0}^{n - 1} (1 - a q^{k}) .$

Currently displaying 1801 – 1820 of 2028

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