Log-convexity and log-concavity of hypergeometric-like functions D Karp, SM Sitnik Journal of Mathematical Analysis and Applications 364 (2), 384-394, 2010 | 108 | 2010 |
Inequalities and monotonicity of ratios for generalized hypergeometric function D Karp, SM Sitnik Journal of Approximation Theory 161 (1), 337-352, 2009 | 97 | 2009 |
The multivariate Watson distribution: Maximum-likelihood estimation and other aspects S Sra, D Karp Journal of Multivariate Analysis 114, 256-269, 2013 | 96 | 2013 |
Completely monotonic gamma ratio and infinitely divisible H-function of Fox D Karp, E Prilepkina arXiv:1501.05388, 2015 | 52 | 2015 |
Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity D Karp, SM Sitnik Journal of computational and applied mathematics 205 (1), 186-206, 2007 | 49 | 2007 |
Hypergeometric functions as generalized Stieltjes transforms D Karp, E Prilepkina Journal of Mathematical Analysis and Applications 393 (2), 348-359, 2012 | 44 | 2012 |
Series expansions for the third incomplete elliptic integral via partial fraction decompositions D Karp, A Savenkova, SM Sitnik Journal of Computational and Applied Mathematics 207 (2), 331-337, 2007 | 43 | 2007 |
Generalized Stieltjes functions and their exact order D Karp, E Prilepkina J. Class. Anal 1 (1), 53-74, 2012 | 38* | 2012 |
Log-concavity for series in reciprocal gamma functions and applications SI Kalmykov, DB Karp Integral Transforms and Special Functions 24 (11), 859-872, 2013 | 35 | 2013 |
Hypergeometric differential equation and new identities for the coefficients of Norlund and Buehring D Karp, E Prilepkina http://arxiv.org/abs/1602.07375, 2016 | 34 | 2016 |
Log-convexity and log-concavity for series in gamma ratios and applications SI Kalmykov, DB Karp Journal of Mathematical Analysis and Applications 406 (2), 400-418, 2013 | 29 | 2013 |
Representations of hypergeometric functions for arbitrary parameter values and their use DB Karp, JL López Journal of Approximation Theory 218, 42-70, 2017 | 24 | 2017 |
Representations and inequalities for generalized hypergeometric functions DB Karp Journal of Mathematical Sciences 207 (6), 885-897, 2015 | 24 | 2015 |
Reduced modulus with free boundary and its applications D Karp, E Prilepkina Annales Fennici Mathematici 34 (2), 353-378, 2009 | 21 | 2009 |
Log-concavity and Turán-type inequalities for the generalized hypergeometric function SI Kalmykov, DB Karp Analysis Mathematica 43 (4), 567-580, 2017 | 17 | 2017 |
Two-sided inequalities for generalized hypergeometric function D Karp, S Sitnik Res. Rep. Collect 10 (2), 2007 | 16 | 2007 |
Square summability with geometric weight for classical orthogonal expansions D Karp Advances in analysis, 407-421, 2005 | 16 | 2005 |
Series expansions and asymptotics for incomplete elliptic integrals via partial fraction decompositions DB Karp, A Savenkova, SM Sitnik Society for special functions and their applications (SSFA), 4-30, 2004 | 15 | 2004 |
Extensions of Karlsson–Minton summation theorem and some consequences of the first Miller–Paris transformation DB Karp, EG Prilepkina Integral Transforms and Special Functions 29 (12), 955-970, 2018 | 14 | 2018 |
Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions DB Karp, EG Prilepkina Integral Transforms and Special Functions 28 (10), 710-731, 2017 | 14 | 2017 |