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ResearcherID: F-1840-2014
Scopus Author ID: 16238445300
Scopus Author ID: 56247816900

Keywords

hypergeometric functions

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Russia

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Employment (1)

Far Eastern Federal University: Vladivostok, RU

2016-01-01 to present
Employment
Source: Self-asserted source
Dmitrii Karp

Works (42)

A Look at Generalized Trigonometric Functions as Functions of Their Two Parameters and Further New Properties

Mathematics
2024-10-29 | Journal article
DOI: 10.3390/math12213383
Contributors: Dmitrii Karp; Elena Prilepkina
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Trigonometric identities: from Hermite via Meijer, Nørlund, and Braaksma to Chu and Johnson and beyond

Boletín de la Sociedad Matemática Mexicana
2023-07 | Journal article
DOI: 10.1007/s40590-023-00518-y
Contributors: Alexander Dyachenko; Dmitrii Karp
Source: check_circle
Crossref

A new identity for the sum of products of the generalized basic hypergeometric functions

The Ramanujan Journal
2023-06 | Journal article
DOI: 10.1007/s11139-022-00598-w
Contributors: S. I. Kalmykov; D. Karp; A. Kuznetsov
Source: check_circle
Crossref

On Meijer's G function Gm,np,p for m + n = p

Integral Transforms and Special Functions
2023-01-02 | Journal article
DOI: 10.1080/10652469.2022.2092730
Contributors: D. B. Karp; E. G. Prilepkina
Source: check_circle
Crossref

Integral Representations of Ratios of the Gauss Hypergeometric Functions with Parameters Shifted by Integers

Mathematics
2022-10-20 | Journal article
DOI: 10.3390/math10203903
Contributors: Alexander Dyachenko; Dmitrii Karp
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Beyond the Beta Integral Method: Transformation Formulas for Hypergeometric Functions via Meijer’s G Function

Symmetry
2022-07-27 | Journal article
DOI: 10.3390/sym14081541
Contributors: Dmitrii Karp; Elena Prilepkina
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Completely monotonic ratios of basic and ordinary gamma functions

Aequationes mathematicae
2021-06-02 | Journal article
DOI: 10.1007/s00010-020-00767-6
Contributors: Christian Berg; Asena Çetinkaya; Dmitrii Karp
Source: check_circle
Crossref

Transformations of the Hypergeometric 4F3 with One Unit Shift: A Group Theoretic Study

Mathematics
2020-11-05 | Journal article
DOI: 10.3390/math8111966
Contributors: Dmitrii Karp; Elena Prilepkina
Source: check_circle
Crossref
grade
Preferred source (of 2)‎

Uniformly convergent expansions for the generalized hypergeometric functions p–1Fp and pFp

Integral Transforms and Special Functions
2020-10-02 | Journal article
DOI: 10.1080/10652469.2020.1752687
Contributors: José L. López; Pedro J. Pagola; Dmitrii B. Karp
Source: check_circle
Crossref

Excessive Entry in Industrial Markets: Mankiw-Whinston Revisited with Heterogeneous Firms and Collusion

International Journal of Public Administration
2019-12-10 | Journal article
DOI: 10.1080/01900692.2019.1672728
Contributors: Alexander Filatov; Dmitry Karp; Yana Makolskaya
Source: check_circle
Crossref

Degenerate Miller–Paris Transformations

Results in Mathematics
2019-09 | Journal article
DOI: 10.1007/s00025-019-1017-8
Contributors: D. B. Karp; E. G. Prilepkina
Source: check_circle
Crossref

Extensions of Karlsson–Minton summation theorem and some consequences of the first Miller–Paris transformation

Integral Transforms and Special Functions
2018-12-02 | Journal article
DOI: 10.1080/10652469.2018.1526793
Contributors: D. B. Karp; E. G. Prilepkina
Source: check_circle
Crossref

Inequalities for series in q-shifted factorials and q-gamma functions

Journal of Mathematical Analysis and Applications
2018-04 | Journal article
DOI: 10.1016/j.jmaa.2017.11.041
Contributors: S.I. Kalmykov; D.B. Karp
Source: check_circle
Crossref

Representations of hypergeometric functions for arbitrary parameter values and their use

Journal of Approximation Theory
2017 | Journal article
DOI: 10.1016/j.jat.2017.03.004
EID:

2-s2.0-85017515032
Contributors: Karp, D.B.; López, J.L.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier
grade
Preferred source (of 2)‎

Some New Facts Concerning the Delta Neutral Case of Fox’s H Function

Computational Methods and Function Theory
2017 | Journal article
DOI: 10.1007/s40315-016-0183-x
EID:

2-s2.0-85019189356
Contributors: Karp, D.B.; Prilepkina, E.G.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Applications of the Stieltjes and Laplace transform representations of the hypergeometric functions

Integral Transforms and Special Functions
2017-10-03 | Journal article
DOI: 10.1080/10652469.2017.1351964
Contributors: D. B. Karp; E. G. Prilepkina
Source: check_circle
Crossref

Hypergeometric differential equation and new identities for the coefficients of Nørlund and Bühring

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
2016 | Journal article
DOI: 10.3842/SIGMA.2016.052
EID:

2-s2.0-84975038145
Contributors: Karp, D.; Prilepkina, E.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Normalized Incomplete Beta Function: Log-Concavity in Parameters and Other Properties

Journal of Mathematical Sciences (United States)
2016 | Journal article
DOI: 10.1007/s10958-016-2958-z
EID:

2-s2.0-84978154010
Contributors: Karp, D.B.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Parameter convexity and concavity of generalized trigonometric functions

Journal of Mathematical Analysis and Applications
2015 | Journal article
DOI: 10.1016/j.jmaa.2014.07.017
EID:

2-s2.0-84925709973
Contributors: Karp, D.B.; Prilepkina, E.G.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Representations and Inequalities for Generalized Hypergeometric Functions

Journal of Mathematical Sciences (United States)
2015 | Journal article
DOI: 10.1007/s10958-015-2412-7
EID:

2-s2.0-84929692000
Contributors: Karp, D.B.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Completely monotonic gamma ratio and infinitely divisible H-function of Fox

Computational Methods and Function Theory
2015-07-22 | Journal article
DOI: 10.1007/s40315-015-0128-9
Source: Self-asserted source
Dmitrii Karp

Logarithmic concavity of series in gamma ratios

Russian Mathematics
2014 | Journal article
DOI: 10.3103/S1066369X14060073
EID:

2-s2.0-84900838631
Contributors: Kalmykov, S.I.; Karp, D.B.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Log-concavity for series in reciprocal gamma functions and applications

2013 | Journal article
DOI: 10.1080/10652469.2013.764874
EID:

2-s2.0-84886406444
Contributors: Kalmykov, S.I.; Karp, D.B.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Log-convexity and log-concavity for series in gamma ratios and applications

2013 | Journal article
DOI: 10.1016/j.jmaa.2013.04.061
EID:

2-s2.0-84878680271
Contributors: Kalmykov, S.I.; Karp, D.B.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Positivity of Toeplitz determinants formed by rising factorial series and properties of related polynomials

2013 | Journal article
DOI: 10.1007/s10958-013-1438-y
EID:

2-s2.0-84884976041
Contributors: Karp, D.B.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

The multivariate watson distribution: Maximum-likelihood estimation and other aspects

2013 | Journal article
DOI: 10.1016/j.jmva.2012.08.010
EID:

2-s2.0-84867742351
Contributors: Sra, S.; Karp, D.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Hypergeometric functions as generalized Stieltjes transforms

2012 | Journal article
DOI: 10.1016/j.jmaa.2012.03.044
EID:

2-s2.0-84860920277
Contributors: Karp, D.; Prilepkina, E.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix pth root

2012 | Journal article
DOI: 10.1016/j.cam.2012.04.007
EID:

2-s2.0-84862895171
Contributors: Gomilko, O.; Karp, D.B.; Lin, M.; Ziȩtak, K.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Turán's inequality for the Kummer function of the phase shift of two parameters

2011 | Journal article
DOI: 10.1007/s10958-011-0537-x
EID:

2-s2.0-80053533888
Contributors: Karp, D.B.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Two-sided bounds for the logarithmic capacity of multiple intervals

2011 | Journal article
DOI: 10.1007/s11854-011-0005-z
EID:

2-s2.0-79954997883
Contributors: Dubinin, V.N.; Karp, D.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Log-convexity and log-concavity of hypergeometric-like functions

2010 | Journal article
DOI: 10.1016/j.jmaa.2009.10.057
EID:

2-s2.0-72149125041
Contributors: Karp, D.; Sitnik, S.M.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Inequalities and monotonicity of ratios for generalized hypergeometric function

2009 | Journal article
DOI: 10.1016/j.jat.2008.10.002
EID:

2-s2.0-70349903106
Contributors: Karp, D.; Sitnik, S.M.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Reduced modulus with free boundary and its applications

2009 | Journal article
EID:

2-s2.0-74949091238
Contributors: Karp, D.; Prilepkina, E.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

An approximation for zero-balanced Appell function F1 near (1, 1)

2008 | Journal article
DOI: 10.1016/j.jmaa.2007.07.071
EID:

2-s2.0-35348973993
Contributors: Karp, D.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Capacities of certain plane condensers and sets under simple geometric transformations

Complex Variables and Elliptic Equations
2008-06 | Journal article
DOI: 10.1080/17476930701734292
Part of ISSN: 1747-6933
Contributors: V. N. Dubinin; D. Karp
Source: Self-asserted source
Dmitrii Karp via Crossref Metadata Search

Asymptotic approximations for the first incomplete elliptic integral near logarithmic singularity

2007 | Journal article
DOI: 10.1016/j.cam.2006.04.053
EID:

2-s2.0-34247374388
Contributors: Karp, D.; Sitnik, S.M.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Generalized condensers and distortion theorems for conformal mappings of planar domains

The Interaction of Analysis and Geometry
2007 | Other
DOI: 10.1090/conm/424/08094
Part of ISSN: 1098-3627
ISBN: 9780821840603
Contributors: V. N. Dubinin; D. B. Karp
Source: Self-asserted source
Dmitrii Karp via Crossref Metadata Search

Series expansions for the third incomplete elliptic integral via partial fraction decompositions

2007 | Journal article
DOI: 10.1016/j.cam.2006.10.019
EID:

2-s2.0-34547101254
Contributors: Karp, D.; Savenkova, A.; Sitnik, S.M.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Capacity of a condenser whose plates are circular arcs

Complex Variables
2005-02-10 | Journal article
DOI: 10.1080/02781070412331331464
Part of ISSN: 0278-1077
Contributors: D. Karp
Source: Self-asserted source
Dmitrii Karp via Crossref Metadata Search

Hypergeometric reproducing kernels and analytic continuation from a half-line

2003 | Journal article
DOI: 10.1080/10652460310001600636
EID:

2-s2.0-0345017068
Contributors: Karp, D.
Source: Self-asserted source
Dmitrii Karp via Scopus - Elsevier

Holomorphic Spaces Related to Orthogonal Polynomials and Analytic Continuation of Functions

Analytic Extension Formulas and their Applications
2001 | Other
DOI: 10.1007/978-1-4757-3298-6_10
Part of ISSN: 1388-4271
ISBN: 978-1-4419-4854-0
Contributors: Dmitri Karp
Source: Self-asserted source
Dmitrii Karp via Crossref Metadata Search

Square Summability with Geometric Weight for Classical Orthogonal Expansions

Advances in Analysis - Proceedings of the 4th International ISAAC Congress
Conference paper
DOI: 10.1142/9789812701732_0037
Part of ISBN: 9789812563989
Contributors: Dmitrii Karp
Source: Self-asserted source
Dmitrii Karp via Crossref Metadata Search

Peer review (7 reviews for 5 publications/grants)

Review activity for Boletín de la Sociedad Matemática Mexicana (2)
Review activity for Indian Journal of Pure and Applied Mathematics. (1)
Review activity for Mathematics. (1)
Review activity for The journal of analysis. (1)
Review activity for The Ramanujan journal. (2)
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