×
Compute Distance To:
Author ID: ernst.thomas Recent zbMATH articles by "Ernst, Thomas"
Published as: Ernst, Thomas; Ernst, T.
Homepage: http://solnaschack.org/ernst/index.html
External Links: ORCID
Documents Indexed: 51 Publications since 2001, including 2 Books
Reviewing Activity: 448 Reviews
Co-Authors: 1 Co-Author with 1 Joint Publication
5 Co-Co-Authors

Co-Authors

50 single-authored
1 Karlsson, Per W.

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 249 times in 182 Documents Cited by Year
A comprehensive treatment of \(q\)-calculus. Zbl 1256.33001
Ernst, Thomas
127
2012
A method for \(q\)-calculus. Zbl 1041.33013
Ernst, Thomas
32
2003
\(q\)-Bernoulli and \(q\)-Euler polynomials, an umbral approach. Zbl 1116.39013
Ernst, Thomas
15
2006
The different tongues of \(q\)-calculus. Zbl 1161.33302
Ernst, Thomas
9
2008
Examples of a \(q\)-umbral calculus. Zbl 1151.33009
Ernst, Thomas
7
2008
Convergence aspects for \(q\)-Appell functions. I. Zbl 1294.33026
Ernst, Thomas
6
2014
An umbral approach to find \(q\)-analogues of matrix formulas. Zbl 1305.15039
Ernst, Thomas
6
2013
On the \(q\)-exponential of matrix \(q\)-Lie algebras. Zbl 1418.17066
Ernst, Thomas
5
2017
Multiplication formulas for \(q\)-Appell polynomials and the multiple \(q\)-power sums. Zbl 1352.05089
Ernst, Thomas
4
2016
\(q\)-Leibniz functional matrices with application to \(q\)-Pascal and \(q\)-Stirling matrices. Zbl 1279.15013
Ernst, Thomas
4
2012
Convergence aspects for \(q\)-Lauricella functions I. Zbl 1254.33017
Ernst, Thomas
4
2012
\(q\)-Pascal and \(q\)-Wronskian matrices with implications to \(q\)-Appell polynomials. Zbl 1295.05060
Ernst, Thomas
3
2013
\(Q\)-deformed matrix pseudo-groups. Zbl 1195.81078
Ernst, T.
3
2010
\(q\)-generating functions for one and two variables. Zbl 1132.33335
Ernst, Thomas
2
2005
The generalized Cauchy determinants. (Les déterminants généralisés de Cauchy.) Zbl 1117.15007
Ernst, Thomas
2
2006
Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases. Zbl 1420.11043
Ernst, Thomas
2
2018
\(q\)-calculus as operational algebra. Zbl 1209.33015
Ernst, Thomas
2
2009
\(q\)-analogues of general reduction formulas by Buschman and Srivastava and an important \(q\)-operator reminding of MacRobert. Zbl 1229.33031
Ernst, Thomas
1
2011
Jacobi-Gudermann-Glaisher’s elliptic functions according to Heine. (Die Jacobi-Gudermann-Glaisherschen elliptischen Funktionen nach Heine.) Zbl 1226.33011
Ernst, Thomas
1
2010
A renaissance for a \(q\)-umbral calculus. Zbl 1125.33014
Ernst, Thomas
1
2007
Generalized Cauchy-Vandermonde determinants. Zbl 1082.15013
Ernst, Thomas
1
2005
On certain generalized \(q\)-Appell polynomial expansions. Zbl 1308.05021
Ernst, Thomas
1
2014
Factorizations of \(q\)-Pascal matrices. Zbl 1317.15012
Ernst, Thomas
1
2014
Convergence aspects for generalizations of \(q\)-hypergeometric functions. Zbl 1318.33033
Ernst, Thomas
1
2015
Some results for \(q\)-functions of many variables. Zbl 1167.33308
Ernst, Thomas
1
2004
On the exponential and trigonometric \(q,\omega \)-special functions. Zbl 1480.33006
Ernst, Thomas
1
2020
On the complex \(q\)-Appell polynomials. Zbl 1473.11050
Ernst, Thomas
1
2020
On Eulerian \(q\)-integrals for single and multiple \(q\)-hypergeometric series. Zbl 1396.33029
Ernst, Thomas
1
2018
On several \(q\)-special matrices, including the \(q\)-Bernoulli and \(q\)-Euler matrices. Zbl 1431.11034
Ernst, Thomas
1
2018
On the \(q\)-analogues of Srivastava’s triple hypergeometric functions. Zbl 1301.33019
Ernst, Thomas
1
2013
Handbook for the \(q\)-analysis. (Handbuch für die \(q\)-Analysis.) Zbl 1373.33001
Ernst, Thomas
1
2017
On the symmetric \(q\)-Lauricella functions. Zbl 1347.33037
Ernst, Thomas
1
2016
On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations. Zbl 1430.11029
Ernst, Thomas
1
2018
On the exponential and trigonometric \(q,\omega \)-special functions. Zbl 1480.33006
Ernst, Thomas
1
2020
On the complex \(q\)-Appell polynomials. Zbl 1473.11050
Ernst, Thomas
1
2020
Expansion formulas for Apostol type \(q\)-Appell polynomials, and their special cases. Zbl 1420.11043
Ernst, Thomas
2
2018
On Eulerian \(q\)-integrals for single and multiple \(q\)-hypergeometric series. Zbl 1396.33029
Ernst, Thomas
1
2018
On several \(q\)-special matrices, including the \(q\)-Bernoulli and \(q\)-Euler matrices. Zbl 1431.11034
Ernst, Thomas
1
2018
On the \(q\)-Lie group of \(q\)-Appell polynomial matrices and related factorizations. Zbl 1430.11029
Ernst, Thomas
1
2018
On the \(q\)-exponential of matrix \(q\)-Lie algebras. Zbl 1418.17066
Ernst, Thomas
5
2017
Handbook for the \(q\)-analysis. (Handbuch für die \(q\)-Analysis.) Zbl 1373.33001
Ernst, Thomas
1
2017
Multiplication formulas for \(q\)-Appell polynomials and the multiple \(q\)-power sums. Zbl 1352.05089
Ernst, Thomas
4
2016
On the symmetric \(q\)-Lauricella functions. Zbl 1347.33037
Ernst, Thomas
1
2016
Convergence aspects for generalizations of \(q\)-hypergeometric functions. Zbl 1318.33033
Ernst, Thomas
1
2015
Convergence aspects for \(q\)-Appell functions. I. Zbl 1294.33026
Ernst, Thomas
6
2014
On certain generalized \(q\)-Appell polynomial expansions. Zbl 1308.05021
Ernst, Thomas
1
2014
Factorizations of \(q\)-Pascal matrices. Zbl 1317.15012
Ernst, Thomas
1
2014
An umbral approach to find \(q\)-analogues of matrix formulas. Zbl 1305.15039
Ernst, Thomas
6
2013
\(q\)-Pascal and \(q\)-Wronskian matrices with implications to \(q\)-Appell polynomials. Zbl 1295.05060
Ernst, Thomas
3
2013
On the \(q\)-analogues of Srivastava’s triple hypergeometric functions. Zbl 1301.33019
Ernst, Thomas
1
2013
A comprehensive treatment of \(q\)-calculus. Zbl 1256.33001
Ernst, Thomas
127
2012
\(q\)-Leibniz functional matrices with application to \(q\)-Pascal and \(q\)-Stirling matrices. Zbl 1279.15013
Ernst, Thomas
4
2012
Convergence aspects for \(q\)-Lauricella functions I. Zbl 1254.33017
Ernst, Thomas
4
2012
\(q\)-analogues of general reduction formulas by Buschman and Srivastava and an important \(q\)-operator reminding of MacRobert. Zbl 1229.33031
Ernst, Thomas
1
2011
\(Q\)-deformed matrix pseudo-groups. Zbl 1195.81078
Ernst, T.
3
2010
Jacobi-Gudermann-Glaisher’s elliptic functions according to Heine. (Die Jacobi-Gudermann-Glaisherschen elliptischen Funktionen nach Heine.) Zbl 1226.33011
Ernst, Thomas
1
2010
\(q\)-calculus as operational algebra. Zbl 1209.33015
Ernst, Thomas
2
2009
The different tongues of \(q\)-calculus. Zbl 1161.33302
Ernst, Thomas
9
2008
Examples of a \(q\)-umbral calculus. Zbl 1151.33009
Ernst, Thomas
7
2008
A renaissance for a \(q\)-umbral calculus. Zbl 1125.33014
Ernst, Thomas
1
2007
\(q\)-Bernoulli and \(q\)-Euler polynomials, an umbral approach. Zbl 1116.39013
Ernst, Thomas
15
2006
The generalized Cauchy determinants. (Les déterminants généralisés de Cauchy.) Zbl 1117.15007
Ernst, Thomas
2
2006
\(q\)-generating functions for one and two variables. Zbl 1132.33335
Ernst, Thomas
2
2005
Generalized Cauchy-Vandermonde determinants. Zbl 1082.15013
Ernst, Thomas
1
2005
Some results for \(q\)-functions of many variables. Zbl 1167.33308
Ernst, Thomas
1
2004
A method for \(q\)-calculus. Zbl 1041.33013
Ernst, Thomas
32
2003
all top 5

Cited by 279 Authors

21 Ernst, Thomas
14 Budak, Hüseyin
13 Ali, Muhammad Aamir
9 Chu, Yuming
7 Awan, Muhammad Uzair
7 Noor, Muhammad Aslam
6 Khan, Subuhi
6 Kim, Taekyun
6 Noor, Khalida Inayat
6 Tariboon, Jessada
5 Alp, Necmettin
5 Riyasat, Mumtaz
4 Abbas, Mujahid
4 Ahmad, Bashir
4 Jain, Pankaj
4 Kalsoom, Humaira
4 Nonlaopon, Kamsing
4 Samei, Mohammad Esmael
4 Sarikaya, Mehmet Zeki
4 Sun, Shurong
3 Abdeljawad, Thabet
3 Alzabut, Jehad O.
3 Araci, Serkan
3 Basu, Chandrani
3 Han, Zhenlai
3 Hounkonnou, Mahouton Norbert
3 Kim, Dae San
3 Mishra, Shashi Kant
3 Nahid, Tabinda
3 Neamaty, Abdolali
3 Ntouyas, Sortiris K.
3 Ntouyas, Sotiris K.
3 Panda, Geetanjali
3 Panwar, Vivek
3 Qin, Zhongyun
3 Ram, Bhagwat
3 Rezapour, Shahram
3 Samet, Bessem
3 Srivastava, Hari Mohan
3 Tourani, Mehdi
3 Wang, Guotao
3 You, Xuexiao
2 Agarwal, Praveen
2 Akkurt, Abdullah
2 Bai, Chuanzhi
2 Băleanu, Dumitru I.
2 Ben Geloun, Joseph
2 Benchohra, Mouffak
2 Bonfiglioli, Andrea
2 Chakraborty, Suvra Kanti
2 Erden, Samet
2 Flores-Gallegos, Nelson
2 İşcan, İmdat
2 Jleli, Mohamed Boussairi
2 Kashuri, Artion
2 Katriel, Jacob
2 Kunt, Mehmet
2 Latif, Muhammad Amer
2 Li, Xinhui
2 Mahmudov, Nazim Idrisoglu
2 Malinowska, Agnieszka Barbara
2 Mansour, Toufik
2 Martins, Natália F.
2 Muhyi, Abdulghani
2 Murtaza, Ghulam
2 Nategh, Mehdi
2 Persson, Lars-Erik
2 Purohit, Sunil Dutt
2 Ramírez, William
2 Řehák, Pavel
2 Rim, Seog-Hoon
2 Schork, Matthias
2 Selvakumaran, Kuppathai A.
2 Shaimardan, Serikbol
2 Sitthiwirattham, Thanin
2 Thongjob, Suriyakamol
2 Torres, Delfim Fernando Marado
2 Urieles, Alejandro
2 Yasmin, Ghazala
2 Zhang, Lihong
2 Zhao, Fayou
1 Abbas, Said
1 Abdullah Alderremy, Aisha
1 Achilles, Rüdiger
1 Acikgoz, Mehmet
1 Adwan, Eman Ahmed
1 Afif, Masmoudi
1 Agarwal, Ravi P.
1 Agheli, Bahram
1 Aglić Aljinović, Andrea
1 Ahmad, Hijaz
1 Ahmadian, Ali
1 Allahverdiev, Bilender Paşaoğlu
1 Allahviranloo, Tofigh
1 Alqudah, Manar A.
1 Al-saedi, Ahmed Eid Salem
1 Alsulami, Hamed Hamdan
1 Aly, Shaban A. H.
1 Ansary, Md Abu Talhamainuddin
1 Anwar, Matloob
...and 179 more Authors
all top 5

Cited in 90 Serials

20 Advances in Difference Equations
7 Applied Mathematics and Computation
7 AIMS Mathematics
6 Linear Algebra and its Applications
6 Axioms
5 Abstract and Applied Analysis
5 Journal of Inequalities and Applications
5 Journal of Applied Mathematics and Computing
5 Open Mathematics
4 Special Matrices
4 Journal of Function Spaces
3 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Journal of Mathematical Physics
2 Reports on Mathematical Physics
2 Czechoslovak Mathematical Journal
2 Demonstratio Mathematica
2 Journal of Computational and Applied Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 Applied Mathematics Letters
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Computational and Applied Mathematics
2 Turkish Journal of Mathematics
2 Journal of Mathematical Chemistry
2 The Ramanujan Journal
2 Discrete Dynamics in Nature and Society
2 Communications of the Korean Mathematical Society
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Tbilisi Mathematical Journal
2 Afrika Matematika
2 Arabian Journal of Mathematics
2 Journal of Mathematics
2 Korean Journal of Mathematics
1 Advances in Applied Probability
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 Ukrainian Mathematical Journal
1 Fortschritte der Physik
1 Journal of Algebra
1 Journal of the Korean Mathematical Society
1 Journal of Pure and Applied Algebra
1 Le Matematiche
1 Mathematica Slovaca
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Programming and Computer Software
1 Quaestiones Mathematicae
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Optimization
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 European Journal of Operational Research
1 Journal of Algebraic Combinatorics
1 The Journal of Analysis
1 Russian Journal of Mathematical Physics
1 Fractals
1 Journal of Difference Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Methodology and Computing in Applied Probability
1 Mathematical Modelling and Analysis
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Journal of the Australian Mathematical Society
1 Applied Mathematics E-Notes
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Mediterranean Journal of Mathematics
1 Proyecciones
1 Complex Analysis and Operator Theory
1 Frontiers of Mathematics in China
1 Journal of Mathematical Inequalities
1 Electronic Research Announcements in Mathematical Sciences
1 Asian-European Journal of Mathematics
1 Advances in Mathematical Physics
1 International Journal of Combinatorics
1 Journal of Pseudo-Differential Operators and Applications
1 Symmetry
1 Eurasian Mathematical Journal
1 Azerbaijan Journal of Mathematics
1 Analysis and Mathematical Physics
1 Mathematics
1 Journal of Discrete Mathematics
1 Journal of Operators
1 International Journal of Applied and Computational Mathematics
1 Cogent Mathematics
1 Journal of Siberian Federal University. Mathematics & Physics
1 Mathematical Foundations of Computing
all top 5

Cited in 36 Fields

59 Real functions (26-XX)
57 Combinatorics (05-XX)
51 Special functions (33-XX)
42 Difference and functional equations (39-XX)
34 Number theory (11-XX)
17 Ordinary differential equations (34-XX)
10 Quantum theory (81-XX)
8 Numerical analysis (65-XX)
7 Nonassociative rings and algebras (17-XX)
7 Operations research, mathematical programming (90-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Operator theory (47-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Probability theory and stochastic processes (60-XX)
4 Functions of a complex variable (30-XX)
3 Partial differential equations (35-XX)
3 Integral transforms, operational calculus (44-XX)
3 Computer science (68-XX)
3 Information and communication theory, circuits (94-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Approximations and expansions (41-XX)
2 Integral equations (45-XX)
2 Functional analysis (46-XX)
2 Statistics (62-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Systems theory; control (93-XX)

Citations by Year