A ratio of finitely many gamma functions and its properties with applications
From MaRDI portal
Publication:2028212
DOI10.1007/s13398-020-00988-zzbMath1466.26009arXiv1911.05883OpenAlexW3120731652MaRDI QIDQ2028212
Xin-Yu Du, Shu-Bin Yu, Wen-Hui Li, Feng Qi, Bai-Ni Guo
Publication date: 31 May 2021
Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.05883
gamma functionmultivariate beta functionintegral representationinequalitycompletely monotonic functionBernstein functionmultinomial coefficientlogarithmically completely monotonic functionratiologarithmic convexityopen problemlogarithmic derivative
Gamma, beta and polygamma functions (33B15) Combinatorial inequalities (05A20) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48) Inequalities involving other types of functions (26D07)
Related Items
Increasing property and logarithmic convexity concerning Dirichlet beta function, Euler numbers, and their ratios, Monotonic properties for ratio of the generalized (p,k)-polygamma functions, Complete monotonicity for a new ratio of finitely many gamma functions, Decreasing property and complete monotonicity of two functions constituted via three derivatives of a function involving trigamma function, Increasing property and logarithmic convexity of two functions involving Dirichlet eta function, Logarithmically complete monotonicity of a matrix-parametrized analogue of the multinomial distribution, Increasing property and logarithmic convexity of functions involving Dirichlet lambda function, Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means, Logarithmic convexity and increasing property of the Bernoulli numbers and their ratios, New properties of the divided difference of psi and polygamma functions, Decreasing properties of two ratios defined by three and four polygamma functions
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