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Displaying 121 – 140 of 1180

An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral indentities.

Herbert S. Wilf, Doron Zeilberger (1992)

Inventiones mathematicae

An alternative definition of the Hermite polynomials related to the Dunkl Laplacian.

De Bie, Hendrik (2008)

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

An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative

Kilbas, Anatoly, Repin, Oleg (2010)

Fractional Calculus and Applied Analysis

Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.The paper deals with an analog of Tricomi boundary value problem for a partial differential equation of mixed type involving a diffusion equation with the Riemann-Liouville partial fractional derivative and a hyperbolic equation with two degenerate lines. By using the properties of the Gauss hypergeometric function and of the generalized fractional integrals and derivatives with such a function in the kernel, the uniqueness...

An analogue of a problem of J. Balázs and P. Turán, II (Inequalities)

A. K. Varma, J. Prasad (1970)

Annales Polonici Mathematici

An analogue of the Gauss summation formula for hypergeometric functions related to root systems.

E.M. Opdam (1993)

Mathematische Zeitschrift

An analytic formula for the $A_{2}$ Jack polynomials.

Mangazeev, Vladimir V. (2007)

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

An Apéry-like difference equation for Catalan's constant.

Zudilin, W. (2003)

The Electronic Journal of Combinatorics [electronic only]

An Application for the Chebyshev Polynomials

Đurđe Cvijović, Jacek Klinowski (1998)

Matematički Vesnik

An application of fractional calculus

R. K. Raina (1990)

Rendiconti del Seminario Matematico della Università di Padova

An application of hypergeometric functions to a problem in function theory.

Moak, Daniel S. (1984)

International Journal of Mathematics and Mathematical Sciences

An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.

Masanori Katsurada (1997)

Collectanea Mathematica

We shall establish full asymptotic expansions for the mean squares of Lerch zeta-functions, based on F. V. Atkinson's device. Mellin-Barnes' type integral expression for an infinite double sum will play a central role in the derivation of our main formulae.

An application of the generalized Bessel function

Hanan Darwish, Abdel Moneim Lashin, Bashar Hassan (2017)

Mathematica Bohemica

We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.

Currently displaying 121 – 140 of 1180

Previous Page 7 Next

Displaying 121 – 140 of 1180

An algorithmic proof theory for hypergeometric (ordinary and "q") multisum/integral indentities.

An alternative definition of the Hermite polynomials related to the Dunkl Laplacian.

An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative

An analogue of a problem of J. Balázs and P. Turán, II (Inequalities)

An analogue of the Gauss summation formula for hypergeometric functions related to root systems.

An analytic formula for the $A_{2}$ Jack polynomials.

An Apéry-like difference equation for Catalan's constant.

An Application for the Chebyshev Polynomials

An application of fractional calculus

An application of hypergeometric functions to a problem in function theory.

An application of Mellin-Barnes' type integrals to the mean square of Lerch zeta-functions.

An application of the generalized Bessel function

An approximation for the zeros of Bessel functions.

An asymptotic confluent expansion for certain functions of several variables

An asymptotic expansion for the Catalan-Larcombe-French sequence.

An electrostatic interpretation of the zeros of the Freud-type orthogonal polynomials.

An elementary approach to the hypergeometric shift operators of Opdam.

An Elementary Proof of the Baker-Campbell-Hausdorff-Dynkin Formula.

An exactly solvable spin chain related to Hahn polynomials.

An example of nonsymmetric semi-classical form of class $s = 1$ ; generalization of a case of Jacobi sequence.

Currently displaying 121 – 140 of 1180