Keywords: توابع هیپرگومتریک; Integral representation; Hypergeometric functions; Lerch transcendent; Hurwitz zeta function; Partial fraction approach; Harmonic number;
مقالات ISI توابع هیپرگومتریک (ترجمه نشده)
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Keywords: توابع هیپرگومتریک; Sums of fractions; Hypergeometric functions; Monodromy representations; Lauricella functions; Hermitian forms;
Keywords: توابع هیپرگومتریک; Asymptotic expansions; Orthogonal polynomials; Hypergeometric functions;
Keywords: توابع هیپرگومتریک; Hypergeometric functions; Tail order; Intermediate tail dependence; Quadrant tail independence; Usual tail dependence; Beta prime scale mixtures;
Keywords: توابع هیپرگومتریک; Dependent risks; Individual risk model; Collective risk model; Classical Pareto distribution; Hypergeometric functions;
Keywords: توابع هیپرگومتریک; 33C05; 11G10; 11F80Abelian varieties; Hypergeometric functions; Galois representations; Triangle groups; Counting points over finite fields; Shimura curves
Keywords: توابع هیپرگومتریک; Asymptotic analysis; Special functions; Hypergeometric functions
Keywords: توابع هیپرگومتریک; Bivariate beta distribution; Bayesian analysis; Dirichlet distribution; Bivariate families; Hypergeometric functions
Keywords: توابع هیپرگومتریک; Annular planes; Screw dislocation; Functionally graded materials; Hypergeometric functions
Keywords: توابع هیپرگومتریک; primary, 33C67; secondary, 81T18Definite integrals; Hypergeometric functions; Feynman diagrams
Keywords: توابع هیپرگومتریک; Endogenous growth; Habits; Economic dynamics; Hypergeometric functions;
Keywords: توابع هیپرگومتریک; Hypergeometric functions; Paley–Wiener class; Monodromy
Keywords: توابع هیپرگومتریک; Schrödinger equation with noninteger dimension; Harmonic and anharmonic oscillators; Anisotropic interactions; Gegenbauer polynomials; Hypergeometric functions;
Keywords: توابع هیپرگومتریک; Linear differential equations; Orthogonal polynomials; Hypergeometric functions; Recursion relations; Weight functions; Polynomial solutions of differential equations
Keywords: توابع هیپرگومتریک; 26D15; 33B15; 33E15Convolutions; Weighted norm inequalities; Euler's integrals; Dirichlet distribution; Dirichlet averages; Hypergeometric functions
Hypergeometric properties of genus 3 generalized Legendre curves
Keywords: توابع هیپرگومتریک; 11T24; 11G25; 33C20; Hypergeometric functions; Finite fields; Point counts; Algebraic curves;
Chirp-free bright optical solitons for perturbed Gerdjikov-Ivanov equation by semi-inverse variational principle
Keywords: توابع هیپرگومتریک; Solitons; Semi-inverse variation; Hypergeometric functions;
Fuchsian systems for Dotsenko-Fateev multipoint correlation functions and similar integrals of hypergeometric type
Keywords: توابع هیپرگومتریک; Dotsenko-Fateev integral; Systems of partial differential equations; Pfaffian systems of Fuchsian type; Hyperplane arrangements; Hypergeometric functions;
Analytical solution for the elastic bending of beams lying on a linearly variable Winkler support
Keywords: توابع هیپرگومتریک; Beam on elastic support; Linearly varying Winkler coefficient; Static bending response; Closed-form analytical solution; Hypergeometric functions; Parametric analysis;
A complete hypergeometric point count formula for Dwork hypersurfaces
Keywords: توابع هیپرگومتریک; 11T24; 11G25; 33C20; Hypergeometric functions; Finite fields; Point counts;
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
Keywords: توابع هیپرگومتریک; primary; 05A10; 05A15; 11B37; 11B39; 11B68; 11B83; 11M35; 26C05; 26C10; secondary; 33C05; 34A99; 35A99; Generating functions; Functional equations; Partial differential equations; Hypergeometric functions; Hurwitz-Lerch zeta functions; Apostol-Bernoul
Hypergeometric-like series for 1/π21/π2 arising from Ramanujan’s quartic theory of elliptic functions
Keywords: توابع هیپرگومتریک; primary, 33C05, 11M36; secondary, 14K25, 11F03Ramanujan’s theta functions; Modular equations; Hypergeometric functions; Eisenstein series
Hypergeometric connotations of quantum equations
Keywords: توابع هیپرگومتریک; Schrödinger equation; Klein-Gordon equation; Hypergeometric functions;
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
Keywords: توابع هیپرگومتریک; Orthogonal polynomials; Canonical spectral transformations of measures; Asymptotic analysis; Hypergeometric functions
Thue's Fundamentaltheorem, II: Further refinements and examples
Keywords: توابع هیپرگومتریک; Diophantine approximation; Effective irrationality measures; Hypergeometric functions
To the Hilbert class field from the hypergeometric modular function
Keywords: توابع هیپرگومتریک; Hilbert class field; Complex multiplication; Moduli of abelian varieties; Hypergeometric functions; Theta functions
Some integral inequalities for harmonic h-convex functions involving hypergeometric functions
Keywords: توابع هیپرگومتریک; Convex; Hermite–Hadamard’s inequalities; Harmonic h-convex functions; Hypergeometric functions
Difference equation for the Heckman-Opdam hypergeometric function and its confluent Whittaker limit
Keywords: توابع هیپرگومتریک; 33C67; 33C52; Hypergeometric functions; Whittaker functions; Root systems; Bispectral problem; Rational Ruijsenaars-Schneider system; Hyperbolic Calogero-Moser model; Open quantum Toda chain;
HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables
Keywords: توابع هیپرگومتریک; Hypergeometric functions; Differential reduction;
A new approach to the epsilon expansion of generalized hypergeometric functions
Keywords: توابع هیپرگومتریک; Epsilon expansion; Hypergeometric functions; Appell functions; Kampé de Fériet functions; Derivatives of Pochhammer symbols
HYPERgeometric functions DIfferential REduction (HYPERDIRE): MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: FD and FS Horn-type hypergeometric functions of three variables
Keywords: توابع هیپرگومتریک; Hypergeometric functions; Differential reduction; Feynman diagrams;
Legendre hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli
Keywords: توابع هیپرگومتریک; Reduction of hyperelliptic integrals; Complete elliptic integral of first kind; π; Hypergeometric functions; Lauricella function; Elliptic singular moduli
A classification of the irreducible algebraic A-hypergeometric functions associated to planar point configurations
Keywords: توابع هیپرگومتریک; Hypergeometric functions; Algebraic functions; Polygons;
Rényi entropies, LqLq norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions
Keywords: توابع هیپرگومتریک; Orthogonal poynomials; Renyi entropy; Hypergeometric functions; Lauricella function; Srivastava–Daoust function
A class of index transforms generated by the Mellin and Laplace operators
Keywords: توابع هیپرگومتریک; Mellin transform; Laplace transform; Kontorovich-Lebedev transform; Modified Bessel functions; Hypergeometric functions;
HYPERDIRE, HYPERgeometric functions DIfferential REduction: MATHEMATICA-based packages for differential reduction of generalized hypergeometric functions pFp−1,F1,F2,F3,F4pFp−1,F1,F2,F3,F4
Keywords: توابع هیپرگومتریک; Hypergeometric functions; Differential reduction
Polynomial Schauder basis of optimal degree with Jacobi orthogonality
Keywords: توابع هیپرگومتریک; Schauder basis; Approximation by polynomials; Asymptotic approximation; Jacobi polynomials; Bessel functions; Hypergeometric functions
Mellin-Barnes representations of Feynman diagrams, linear systems of differential equations, and polynomial solutions
Keywords: توابع هیپرگومتریک; Feynman diagrams; Hypergeometric functions; Mellin-Barnes representations;
A summation formula and Ramanujan type series
Keywords: توابع هیپرگومتریک; Hypergeometric functions; Dougallʼs F45 summation; Gamma function; Ramanujan type series;
Integral transforms of functions to be in certain class defined by the combination of starlike and convex functions
Keywords: توابع هیپرگومتریک; Pascu-class of αα convex functions; Starlike functions; Convex functions; Integral transforms; Hypergeometric functions
Derivatives of a finite class of orthogonal polynomials related to inverse Gamma distribution
Keywords: توابع هیپرگومتریک; Orthogonal polynomials; Rodrigues’ formula; Hypergeometric functions; Recurrence relation; Generating function; Quadrature rules; Fourier transformation
Crack tip plasticity of a penny-shaped Dugdale crack in a power-law graded elastic infinite medium
Keywords: توابع هیپرگومتریک; Penny-shaped Dugdale crack; Mixed boundary value problem; Hypergeometric functions; Inhomogeneous medium; Arbitrary axisymmetric loading
On the statistical functions characterizing linear sums of matched-filter outputs for the Nakagami target fluctuation model
Keywords: توابع هیپرگومتریک; Amplitude characteristic function; Characteristic probability density function; Characteristic survival function; Hypergeometric functions; Nakagami target fluctuation model
Derivatives of a finite class of orthogonal polynomials defined on the positive real line related to FF-distribution
Keywords: توابع هیپرگومتریک; Orthogonal polynomial; Recurrence relation; Generating function; Hypergeometric functions; Rodrigues formula; Quadrature formula
Symbolic operational images and decomposition formulas for hypergeometric functions
Keywords: توابع هیپرگومتریک; Formal operators; Operational images; Hypergeometric functions; Decomposition formulas; Finite series; Reduction formulas;
Closed expressions for matrix elements of the trigonometric Pöschl-Teller potential
Keywords: توابع هیپرگومتریک; Pöschl-Teller potential; Matrix elements; Hypergeometric functions;
Fisher information of orthogonal polynomials I
Keywords: توابع هیپرگومتریک; 33C45; 94A17; 33C05Fisher information; Orthogonal polynomials; Hypergeometric functions
About derivatives of Heun’s functions from polynomial transformations of hypergeometric equations
Keywords: توابع هیپرگومتریک; Heun’s differential equations; Hypergeometric functions
On some classes of p-valent functions involving Carlson–Shaffer operator
Keywords: توابع هیپرگومتریک; Operator; Hadamard product; Bazilevic functions; Starlike functions; Hypergeometric functions; p-valent functions
A certain class of incomplete elliptic integrals and associated definite integrals
Keywords: توابع هیپرگومتریک; Incomplete and complete elliptic integrals; Riemann–Liouville fractional differintegral operators; Beta and Gamma functions; Theorem on Dominated Convergence; Hypergeometric functions; Appell functions; Srivastava–Daoust multivariable hypergeometric funct