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Articles by Dmitrii Karp

A look at generalized trigonometric functions as functions of their two parameters and further new properties
20 November 2024 by Dmitrii Karp and Elena Prilepkina
Classical Analysis and ODEs
Unimodality preservation by ratios of functional series and integral transforms
3 August 2024 by Dmitrii Karp and others
Classical Analysis and ODEs
Extending the Meijer G-function
8 March 2024 by Dmitrii Karp and Alexey Kuznetsov
Classical Analysis and ODEs, Complex Variables
Log-concavity and log-convexity of series containing multiple Pochhammer symbols
9 December 2023 by Dmitrii Karp and Yi Zhang at LogoXi'an Jiaotong-Liverpool University
Classical Analysis and ODEs, Symbolic Computation
Convergent expansions and bounds for the incomplete elliptic integral of the second kind near the logarithmic singularity
30 May 2023 by Dmitrii Karp and Yi Zhang
Classical Analysis and ODEs, Symbolic Computation
On digamma series convertible into hypergeometric series
8 April 2023 by Asena Çetinkaya and Dmitrii Karp
Classical Analysis and ODEs
Trigonometric identities: from Hermite via Meijer, Nørlund and Braaksma to Chu and Johnson and beyond
20 February 2023 by Alexander Dyachenko and Dmitrii Karp
Classical Analysis and ODEs
Hypergeometric {}_4F_3(1) with integral parameter differences
18 April 2022 by Dmitrii Karp and Elena Prilepkina
Classical Analysis and ODEs
A new identity for the sum of products of generalized basic hypergeometric functions
7 September 2021 by S. Kalmykov and others
Classical Analysis and ODEs
Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations
8 August 2021 by Alexander Dyachenko and Dmitrii Karp
Classical Analysis and ODEs
Ratios of the Gauss hypergeometric functions with parameters shifted by integers: part I
24 March 2021 by Alexander Dyachenko and Dmitrii Karp
Complex Variables, Classical Analysis and ODEs
Transformations of the hypergeometric 4F3 with one unit shift: a group theoretic study
28 September 2020 by Dmitrii Karp and Elena Prilepkina
Classical Analysis and ODEs
Completely monotonic ratios of basic and ordinary gamma functions
29 April 2020 by Christian Berg and others
Classical Analysis and ODEs
The Fox-Wright function near the singularity and branch cut
10 July 2019 by Dmitrii Karp and Elena Prilepkina
Classical Analysis and ODEs
A new identity for a sum of products of the generalized hypergeometric functions
12 June 2019 by Dmitrii Karp and Alexey Kuznetsov
Classical Analysis and ODEs
A note on Fox's H function in the light of Braaksma's results
24 April 2019 by Dmitrii Karp
Complex Variables
Representations of hypergeometric functions for arbitrary parameter values and their use
5 October 2016 by Dmitrii Karp and Jose Lorie Lopez
Classical Analysis and ODEs
Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring
21 May 2016 by Dmitrii Karp and Elena Prilepkina
Classical Analysis and ODEs
Some new facts concerning the delta neutral H function of Fox
19 March 2016 by Dmitrii Karp and E. Prilepkina
Classical Analysis and ODEs, Complex Variables
Normalized incomplete beta function: log-concavity in parameters and other properties
17 September 2015 by Dmitrii Karp
Classical Analysis and ODEs, Combinatorics
Completely monotonic gamma ratio and infinitely divisible H-function of Fox
17 April 2015 by Dmitrii Karp and Elena Prilepkina
Classical Analysis and ODEs
Representations and inequalities for generalized hypergeometric functions
10 September 2014 by Dmitrii Karp
Classical Analysis and ODEs
The Multivariate Watson Distribution: Maximum-Likelihood Estimation and other Aspects
25 May 2012 by Suvrit Sra and Dmitrii Karp
Computation, Classical Analysis and ODEs
Two-sided bounds for the logarithmic capacity of multiple intervals
20 May 2009 by V. Dubinin and Dmitrii Karp
Complex Variables
Log-convexity and log-concavity of hypergeometric-like functions
18 February 2009 by Dmitrii Karp and S. Sitnik
Classical Analysis and ODEs
Inequalities and monotonicity of ratios for generalized hypergeometric function
11 November 2008 by Dmitrii Karp and S. Sitnik
Classical Analysis and ODEs
An approximation for zero-balanced Appell function F_1 near (1,1)
19 January 2007 by Dmitrii Karp
Classical Analysis and ODEs
Capacity of a condenser whose plates are circular arcs
3 April 2006 by Dmitrii Karp
Complex Variables
Square summability with geometric weight for classical orthogonal expansions
3 April 2006 by Dmitrii Karp
Classical Analysis and ODEs
Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity
3 April 2006 by Dmitrii Karp and S. Sitnik
Classical Analysis and ODEs
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