Starlikeness and convexity results for hypergeometric functions
Keywords: عملکرد هیپرژئومتری; Starlike; Convex; Hypergeometric function; Integral operator
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On an isotherm thermodynamically consistent in Henry’s region for describing gas adsorption in microporous materials
Keywords: عملکرد هیپرژئومتری; Microporous; Gas adsorption; Energy heterogeneity; Thermodynamic isotherm; Hypergeometric function; Affinity coefficient
Damped oscillators: A continuous model for velocity dependent drag
Keywords: عملکرد هیپرژئومتری; Asymptotic approximations; Damped oscillators; Hypergeometric function; Euler gamma function
Exact analytical solution of a nonlinear equation arising in heat transfer
Keywords: عملکرد هیپرژئومتری; Nonlinear heat transfer equation; Exact analytic solutions; Hypergeometric function; Gamma function
Bounds for complete elliptic integrals of the first kind
Keywords: عملکرد هیپرژئومتری; Hypergeometric function; Elliptic integrals; Wallis’ inequality; Boundsprimary 33C05; secondary 26D07
Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
Keywords: عملکرد هیپرژئومتری; Generating functions; Hypergeometric function; Appell’s hypergeometric functions; Lauricella’s hypergeometric function; Fractional derivative operator; Mellin transform
Local dependence functions for some families of bivariate distributions and total positivity
Keywords: عملکرد هیپرژئومتری; Totally positive of order 2; Sarmanov family; The Ali–Mikhail–Haq family of bivariate distributions; Elliptical distributions; Exponential conditionals; Pareto conditionals; Hypergeometric function; Hurwitz-Lerch Zeta distributions
Subclasses of analytic functions associated with the generalized hypergeometric function
Keywords: عملکرد هیپرژئومتری; Analytic; Distortion theorem; Hypergeometric function; Modified Hadamard product
An extended class of minimax generalized Bayes estimators of regression coefficients
Keywords: عملکرد هیپرژئومتری; primary, 62C20; secondary, 62J07Regression; Minimaxity; Shrinkage estimators; Generalized Bayes estimators; Invariant loss; Unknown variance; Hypergeometric function
The hyperelliptic integrals and π
Keywords: عملکرد هیپرژئومتری; Complete elliptic integral of first kind; Hypergeometric function; π; Appell function; Lauricella–Saran function
Exact analytical solution of a nonlinear reaction–diffusion model in porous catalysts
Keywords: عملکرد هیپرژئومتری; Porous catalyst; Diffusion and reaction; nth order reaction; Thiele modulus; Exact solutions; Hypergeometric function
Transformations of Kummer-type for 2F2-series and their q-analogues
Keywords: عملکرد هیپرژئومتری; Primary 33D15; Secondary 05A15Kummer-type transformations; Hypergeometric function; Basic hypergeometric series
Argument estimates of certain meromorphically multivalent functions associated with generalized hypergeometric function
Keywords: عملکرد هیپرژئومتری; Meromorphic; Starlike; Argument estimates; Hypergeometric function;
Convergence of generalized Kapteyn expansion
Keywords: عملکرد هیپرژئومتری; Bessel function of first kind Jν(x); Hypergeometric function; Kapteyn series; Landau bounds for Jν(x); Olenko's bound for Jν(x);
Solution of the persistent, biased random walk
Keywords: عملکرد هیپرژئومتری; Persistent random walk; Biased random walk; Difference equation; Hypergeometric function
On certain sufficient conditions for close-to-convexity
Keywords: عملکرد هیپرژئومتری; Analytic functions; p-Valent functions; Hypergeometric function; Close-to-convex functions; Subordination between analytic functions;
On the contiguous relations of hypergeometric series
Keywords: عملکرد هیپرژئومتری; Hypergeometric function; Contiguous relations
An identity involving invariant polynomials of matrix arguments
Keywords: عملکرد هیپرژئومتری; primary; 62H10; secondary; 62H15; Hypergeometric function; Invariant polynomials; Transformation; Zonal polynomials;
Monotonicity of CF-coefficients in Gauss-fractions
Keywords: عملکرد هیپرژئومتری; Hypergeometric function; Continued fraction; Monotonicity;
Recurrence relations for the Epstein-Hubbell integral and its generalized forms
Keywords: عملکرد هیپرژئومتری; Elliptic integral; Recurrence relation; Hypergeometric function;
Norm estimates for the Alexander transforms of convex functions of order alpha
Keywords: عملکرد هیپرژئومتری; Alexander transform; Univalent function; Convex of order α; Hypergeometric function;
The Choi-Saigo-Srivastava integral operator and a class of analytic functions
Keywords: عملکرد هیپرژئومتری; Distortion theorems; Analytic functions; Choi-Saigo-Srivastava integral operator; Univalent functions; Convex functions; Hypergeometric function;
Sharp power mean bounds for the Gaussian hypergeometric function
Keywords: عملکرد هیپرژئومتری; Hypergeometric function; Elliptic integral; Power mean;
A certain class of p-valently analytic functions
Keywords: عملکرد هیپرژئومتری; Analytic functions; Multivalent functions; Differential subordination; Hypergeometric function; Starlike functions; Convex functions;
Modeling the simple epidemic with deterministic differential equations and random initial conditions
Keywords: عملکرد هیپرژئومتری; Simple epidemic; Random differential equations; Hypergeometric function;
Modeling the simple epidemic with deterministic differential equations and random initial conditions
Keywords: عملکرد هیپرژئومتری; Simple epidemic; Random differential equations; Hypergeometric function;
On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
Keywords: عملکرد هیپرژئومتری; 33B; 33E; 11M; Gamma function; Digamma function; Polygamma function; Riemann zeta function; Clausen function; Euler sums; Harmonic numbers; Hurwitz zeta function; Hypergeometric function; Dilogarithm function; Trilogarithm function; Polylogarithm function
Some subclasses of multivalent functions involving a certain linear operator
Keywords: عملکرد هیپرژئومتری; p-Valent analytic functions; Linear operator; Generalized neighborhoods; Fractional calculus operators; Hypergeometric function; Differential subordination;
Bivariate hypergeometric D-modules
Keywords: عملکرد هیپرژئومتری; primary 32C38; 33C70; secondary 35N10; 33C65; 14M25; Hypergeometric function; Horn system; Holonomic D-module; Holonomic rank;