Keywords: primary; 11A07; secondary; 33C05; Supercongruences; Delannoy number; Legendre symbol; Zeilberger algorithm;
مقالات ISI (ترجمه نشده)
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Keywords: 13P15; 15B05; 33C05; Subresultants; Hankel matrices; Ostrowski's determinant; Pfaff-Saalschütz identity;
Keywords: Gauss hypergeometric function; complete elliptic integrals; quadratic transformation; Ramanujan cubic transformation; 33C05;
Heavy-tailed fractional Pearson diffusions
Keywords: 33C05; 33C47; 35P10; 60G22; Fractional diffusion; Fractional backward Kolmogorov equation; Hypergeometric function; Mittag-Leffler function; Pearson diffusion; Spectral representation; Transition density; Whittaker function;
Keywords: Gaussian hypergeometric function; Generalized hypergeometric function; Asymptotical formula; Monotonicity; Inequality; 33C05; 33A30;
Keywords: 14G05; 14G15; 14H20; 5C38; 33C05; 33C90Algebraic curves; Finite fields; Rational points
Keywords: 33C05; 11G10; 11F80Abelian varieties; Hypergeometric functions; Galois representations; Triangle groups; Counting points over finite fields; Shimura curves
Keywords: Three-term recurrence relation; Hypergeometric polynomials; Zeros; Monotonicity65Q30; 33C05; 33C45; 42C05
On the Weber type integral equation related to the Weber-Titchmarsh problem
Keywords: primary; 44A15; 44A35; 33C10; secondary; 33C05; 45E99; Weber-Orr integral transforms; Mellin transform; Bessel functions; Gauss's hypergeometric function;
A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties
Keywords: 33C60; 33C70; 33C65; 33B15; 33C05; 33C45; Srivastava's triple hypergeometric functions; Appell's hypergeometric functions; Exton's triple hypergeometric functions; Beta and Gamma functions; Laguerre polynomials;
The plancherel formula for the line bundles on SL(n + 1, â)/S(GL(1,â) Ã GL(n, â))
Keywords: pseudo-Riemannian symmetric space; spherical distributions; Poisson kernels; Casimir operators; Plancherel formula; 22E46; 33C05;
Some mixed character sum identities of Katz
Keywords: 11T24; 33C05; Hypergeometric F12 functions over finite fields; Gauss sums; Jacobi sums; Quadratic transformations; Hasse-Davenport relation; Quantum physics;
Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
Keywords: 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
On Ramanujan's modular equation of degree 7
Keywords: 11F20; 33C05; Theta functions; Modular equations;
Real numerical shadow and generalized B-splines
Keywords: 47A12; 60B05; 81P16; 33C05; 51M15; Numerical range; Probability measures; Numerical shadow; B-splines;
Belyi functions for hyperbolic hypergeometric-to-Heun transformations
Keywords: 33E30; 33C05; 57M12; 14-04Belyi functions; Heun functions; Pull-back transformations
Generalization of a summation formula due to Fox
Keywords: 33B15; 33C05; 33C20Generalized hypergeometric functions; Gauss’s second summation theorem; Fox’s summation formula
Real zeros of 2F1 hypergeometric polynomials
Keywords: 33C05; 33C45; 42C05; Orthogonal polynomials; Zeros; Hypergeometric polynomials;
A unified approach to the integrals of Mellin-Barnes-Hecke type
Keywords: 33C05; 33C10; 33C15; Gamma function; Fourier transforms; Pull-backs of distributions;
Classical Klein–Gordon solutions, symplectic structures, and isometry actions on AdS spacetimes
Keywords: 33C05; 35Q75; 70S10; 83C10AdS; Isometry actions; Klein–Gordon field; Symplectic structure
On the solutions of the Cauchy problem for a class of partial differential equations with double characteristic at a point
Keywords: 35A20; 35C10; 35C05; 33C05; 35L10Singular solutions; Hypergeometric equation
Some results involving series representations of hypergeometric functions
Keywords: 33C20; 33C05; 33B10Hypergeometric functions; Riemann zeta function; Beta function; Series representation
Separation theorems for the zeros of certain hypergeometric polynomials
Keywords: 33C05; 30C15Contiguous hypergeometric polynomials; Interlacing zeros of hypergeometric polynomials; Separation results
General recurrence and ladder relations of hypergeometric-type functions
Keywords: 34A25; 33C05; 33C45Second-order differential equations; Special functions; Hypergeometric-type functions; Classical orthogonal polynomials; Recurrence formulas; Ladder operators; Sum rules
The ABC of hyper recursions
Keywords: 33C05; 39A11; 65D20Gauss hypergeometric functions; Recursion relations; Difference equations; Stability of recursion relations; Numerical evaluation of special functions
Boundedness of generalized Cesáro averaging operators on certain function spaces
Keywords: 30D45; 30D50; 30D55; 33C05; Gaussian hypergeometric functions; Cesáro operators;