Keywords: primary; 05A10; 05A19; 33C20; secondary; 11B65; 11B83; 11M06; Polygamma function; Integral representation; Logarithmic integral; Riemann zeta function;
مقالات ISI (ترجمه نشده)
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Keywords: Primary; 11A07; 33D15; Secondary; 33C20; 33B15; Basic hypergeometric series; Hypergeometric series; p-Adic Gamma function; Supercongruence;
Keywords: 33C20; 33C60; 33F05; 42A82; 65D20; Generalized hypergeometric function; Meijer's G function; Integral representation; Radial positive definite function; Inverse factorial series; Hadamard finite part;
Keywords: 33C20; 11G07; 11G15; 44A20Complex multiplication; Truncated hypergeometric series; Supercongruences; Atkin and Swinnerton-Dyer congruences
Keywords: The particle swarm optimization; Fractional calculus; Fractional model; Simulation; Stability; Control; 90C27; 90C35; 90C59; 90C30; 28B20; 26A33; 33C20; 30C45; 26A33;
Keywords: 33C20; 60B20; 62H10Random matrix theory; High-dimensional statistics; Spiked population model; Hypergeometric function; Wishart ensembles; FF-matrix
Keywords: 33C20; 33C45; 42C05; 44A20; 30D05Mellin transformation; Legendre polynomial; Associated Legendre polynomial; Hypergeometric function; Critical line; Zeros; Functional equation
Keywords: 33C20; 33C80; 14H20; 14H45; 05E05; Hypergeometric function; Algebraic function; Imprimitive monodromy; Trinomial equation; Binomial coefficient identity; Algebraic curve; Belyi cover; Uniformization; Symmetric polynomial;
Hypergeometric properties of genus 3 generalized Legendre curves
Keywords: 11T24; 11G25; 33C20; Hypergeometric functions; Finite fields; Point counts; Algebraic curves;
Interactions between interleaving holes in a sea of unit rhombi
Keywords: 05A15; 05A16; 33C20; 52C20; 82B20; Rhombus tilings; Two dimensional electrostatics;
An Appell series over finite fields
Keywords: primary; 33C65; 11T24; secondary; 11L05; 33C20; Appell series over finite fields; Reduction formula; Transformation formula; Generating function;
Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: A Bayesian probability perspective
Keywords: Clifford algebras; Fock states; Generalized Mittag-Leffler functions; Generalized Wright functions; Quasi-probability distributions; 26A33; 30G35; 33C20; 62F15; 81Q60;
A complete hypergeometric point count formula for Dwork hypersurfaces
Keywords: 11T24; 11G25; 33C20; Hypergeometric functions; Finite fields; Point counts;
On the divisibility of the truncated hypergeometric function F23
Keywords: primary; 11A07; secondary; 33C20; Truncated hypergeometric function; Congruence; Saalschütz's identity;
Certain image formulas of generalized hypergeometric functions
Keywords: Beta function; Generalized beta function; Generalized Gauss hypergeometric function; Generalized confluent hypergeometric function; Fractional derivative operators; Integral transforms26A33; 33B15; 33C15; 33C20; 33C99; 44A10
Elliptic curves and special values of Gaussian hypergeometric series
Keywords: 11T24; 11G20; 33C20; Elliptic curves; Gaussian hypergeometric functions; Trace of Frobenius endomorphism;
Generalized Cauchy type problems for nonlinear fractional differential equations with composite fractional derivative operator
Keywords: 33E12; 33C20; 26A33; 47B38; 47G10Composite fractional derivative operator; Cauchy problem; Laplace transform method; Volterra integro-differential equation; Nonlinear fractional differential equations; Banach’s fixed point theorem; Method of successive ap
Exponentially small expansions in the asymptotics of the Wright function
Keywords: 33C20; 33C70; 34E05; 41A60Asymptotics; Exponentially small expansions; Wright function; Generalised hypergeometric functions
A few remarks on the supremum of stable processes
Keywords: 60G52; 33C20
Some results involving series representations of hypergeometric functions
Keywords: 33C20; 33C05; 33B10Hypergeometric functions; Riemann zeta function; Beta function; Series representation
Certain summation and transformation formulas for generalized hypergeometric series
Keywords: 33C20; 33C50Generalized hypergeometric series
Approximations to -, di- and tri-logarithms
Keywords: 33C20; 33F10; 11J70; 11M06Dilogarithm; Trilogarithm; Zeta value; Hypergeometric series; Algorithm of creative telescoping; Polynomial recursion; Apéry's approximations
A generic formula for the values at the boundary points of monic classical orthogonal polynomials
Keywords: 33C45; 33C20; 33F10Differential equation of hypergeometric type; Hypergeometric functions; Hypergeometric identities; Rodrigues type formula; Weight function; Pearson's distribution; Jacobi, Laguerre, Bessel and Hermite polynomials
Comments on “Asymptotic expansion of a Bessel function integral using hypergeometric functions” by L.J. Landau and N.J. Luswili
Keywords: 33C10; 33C20; 33C60; 41A60; Asymptotic expansion; Generalized hypergeometric function; Integral of a product of Bessel functions;
Some expansions of the exponential integral in series of the incomplete Gamma function
Keywords: primary; 33B20; 33C10; secondary; 33C20; Exponential integrals; Incomplete Gamma functions; Hypergeometric functions; Bilateral expansions; Hadamard expansion; Modified Bessel function;
Fox H functions in fractional diffusion
Keywords: 26A33; 33C20; 33C60; 33E12; 33E20; 33E30; 44A15; 60G18; 60J60; Fox H-functions; Mellin-Barnes integrals; Fractional derivatives; Fractional diffusion; Probability distributions;