# zbMATH — the first resource for mathematics

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 Documents Indexed: 88 Publications since 1976, including 2 Books Reviewing Activity: 506 Reviews
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#### Co-Authors

 71 single-authored 5 deLaubenfels, Ralph J. 4 Dil, Ayhan 4 Moll, Victor Hugo 2 Gopalkrishna Gadiyar, H. 2 Padma, Ramanathan 1 Aliev, Ilham A. 1 Amdeberhan, Tewodros 1 Berg, Christian 1 Boyadzhiev, Irina A. 1 Levan, Nhan 1 Medina, Luis A.
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#### Serials

 8 Doklady Bolgarskoĭ Akademii Nauk 7 Scientia. Series A: Mathematical Sciences. New Series 4 International Journal of Mathematics and Mathematical Sciences 4 Advances and Applications in Discrete Mathematics 3 Analysis Mathematica 3 Proceedings of the American Mathematical Society 3 Serdica 3 Journal of Integer Sequences 2 Collectanea Mathematica 2 The Fibonacci Quarterly 2 Tatra Mountains Mathematical Publications 2 Far East Journal of Mathematical Sciences 1 Houston Journal of Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Lithuanian Mathematical Journal 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Studia Mathematica 1 Mathematics Magazine 1 Acta Scientiarum Mathematicarum 1 Applied Mathematics and Computation 1 Ars Combinatoria 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematica Japonica 1 The Mathematics Student 1 Publicationes Mathematicae 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Semigroup Forum 1 Studia Scientiarum Mathematicarum Hungarica 1 Utilitas Mathematica 1 Hardy-Ramanujan Journal 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Integral Transforms and Special Functions 1 Abstract and Applied Analysis 1 Integers 1 Discussiones Mathematicae. General Algebra and Applications 1 Journal of Nonlinear Mathematical Physics 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Geometry and Symmetry in Physics 1 The College Mathematics Journal 1 Acta Universitatis Sapientiae. Mathematica 1 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika 1 Gazeta Matematică. Seria A
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#### Fields

 36 Number theory (11-XX) 30 Operator theory (47-XX) 24 Special functions (33-XX) 14 Combinatorics (05-XX) 12 Sequences, series, summability (40-XX) 12 Functional analysis (46-XX) 8 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 3 Mathematics education (97-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

51 Publications have been cited 300 times in 223 Documents Cited by Year
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials. Zbl 1221.11056
2008
Exponential polynomials, Stirling numbers, and evaluation of some gamma integrals. Zbl 1237.11011
2009
A series transformation formula and related polynomials. Zbl 1086.05006
2005
Generation of generators of holomorphic semigroups. Zbl 0796.47009
Berg, Christian; Boyadzhiev, Khristo; deLaubenfels, Ralph
1993
Close encounters with the Stirling numbers of the second kind. Zbl 1260.11016
2012
Boundary values of holomorphic semigroups. Zbl 0797.47023
1993
Spectral theorem for unbounded strongly continuous groups on a Hilbert space. Zbl 0820.47017
1994
Euler sums of hyperharmonic numbers. Zbl 1311.11019
2015
Derivative polynomials for tanh, tan, sech and sec in explicit form. Zbl 1205.11026
2007
Series with central binomial coefficients, Catalan numbers, and harmonic numbers. Zbl 1291.11046
2012
Harmonic number identities via Euler’s transform. Zbl 1213.11054
2009
Evaluation of Euler-Zagier sums. Zbl 1015.11046
2001
Notes on the binomial transform. Theory and table with appendix on Stirling transform. Zbl 1432.11001
2018
Strong stability of Hilbert space contraction semigroups. Zbl 0843.47026
1995
Geometric polynomials: properties and applications to series with zeta values. Zbl 1389.11064
2016
Consecutive evaluation of Euler sums. Zbl 0994.40003
2002
Binomial transform and the backward difference. Zbl 1298.05015
2014
Series transformation formulas of Euler type, Hadamard product of series, and harmonic number identities. Zbl 1318.11041
2011
Semigroups and resolvents of bounded variation imaginary powers and $$H^ \infty$$ functional calculus. Zbl 0779.47036
1992
The integrals in Gradshteyn and Ryzhik. XI: The incomplete beta function. Zbl 1221.33003
Boyadzhiev, Khristo N.; Medina, Luis A.; Moll, Victor H.
2009
A note on Bernoulli polynomials and solitons. Zbl 1165.37032
2007
Equiangular surfaces, self-similar surfaces, and the geometry of seashells. Zbl 1245.53009
2007
Lah numbers, Laguerre polynomials of order negative one, and the $$n$$th derivative of $$\exp(1/x)$$. Zbl 1398.11108
2016
Alternating Euler sums at the negative integers. Zbl 1194.11090
2009
The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers. Zbl 1148.11046
2008
Norm estimates for commutators of operators. Zbl 0922.47011
1998
Mean value theorems for traces. Zbl 0812.46051
1993
$$H^ \infty$$ functional calculus for perturbations of generators of holomorphic semigroups. Zbl 0738.47018
Boyadzhiev, Khristo N.; deLaubenfels, Ralph J.
1991
Power series with inverse binomial coefficients and harmonic numbers. Zbl 1436.11022
2017
Binomial transform of products. Zbl 1413.11041
2016
Some integrals related to the Basel problem. Zbl 1342.30001
2015
Evaluation of series with binomial sums. Zbl 1299.40006
2014
Series with Hermite polynomials and applications. Zbl 1263.11039
2012
On Taylor’s coefficients of the Hurwitz zeta function. Zbl 1169.11036
2008
Logarithms and imaginary powers of operators on Hilbert spaces. Zbl 0819.47018
1994
Some inequalities for generalized commutators. Zbl 0731.47036
1990
On values of the Riemann zeta function at positive integers. Zbl 07220250
Dil, Ayhan; Boyadzhiev, Khristo N.; Aliev, Ilham A.
2020
A special constant and series with zeta values and harmonic numbers. Zbl 1439.11198
2018
Melzak’s formula for arbitrary polynomials. Zbl 1346.05014
2016
Power series with skew-harmonic numbers, dilogarithms, and double integrals. Zbl 1309.11020
2013
Evaluation of one exotic Furdui type series. Zbl 1309.11019
2013
The integrals in Gradshteyn and Ryzhik. XXI: Hyperbolic functions. Zbl 1262.33001
Boyadzhiev, Khristo N.; Moll, Victor H.
2012
The Euler series transformation and the binomial identities of Ljunggren, Munarini and Simons. Zbl 1226.05015
2010
Power sum identities with generalized Stirling numbers. Zbl 1232.11032
2009
Integral representation of functions on sectors, functional calculus and norm estimates. Zbl 1046.47027
2002
Kreǐn’s trace formula and the spectral shift function. Zbl 0983.47009
2001
Poisson integrals of the Pincus principal function for hyponormal operators. Zbl 0699.47015
1989
A many-variable Landau-Kolmogorov inequality. Zbl 0626.47039
1987
An asymptotic Fuglede theorem for generators of $$C_ 0$$ groups. Zbl 0617.47033
1987
Characterization of the generators of $$C_ 0$$ semigroups which leave a convex set invariant. Zbl 0555.47027
1984
A generalization of the Fuglede-Putnam theorem. Zbl 0537.47023
1983
On values of the Riemann zeta function at positive integers. Zbl 07220250
Dil, Ayhan; Boyadzhiev, Khristo N.; Aliev, Ilham A.
2020
Notes on the binomial transform. Theory and table with appendix on Stirling transform. Zbl 1432.11001
2018
A special constant and series with zeta values and harmonic numbers. Zbl 1439.11198
2018
Power series with inverse binomial coefficients and harmonic numbers. Zbl 1436.11022
2017
Geometric polynomials: properties and applications to series with zeta values. Zbl 1389.11064
2016
Lah numbers, Laguerre polynomials of order negative one, and the $$n$$th derivative of $$\exp(1/x)$$. Zbl 1398.11108
2016
Binomial transform of products. Zbl 1413.11041
2016
Melzak’s formula for arbitrary polynomials. Zbl 1346.05014
2016
Euler sums of hyperharmonic numbers. Zbl 1311.11019
2015
Some integrals related to the Basel problem. Zbl 1342.30001
2015
Binomial transform and the backward difference. Zbl 1298.05015
2014
Evaluation of series with binomial sums. Zbl 1299.40006
2014
Power series with skew-harmonic numbers, dilogarithms, and double integrals. Zbl 1309.11020
2013
Evaluation of one exotic Furdui type series. Zbl 1309.11019
2013
Close encounters with the Stirling numbers of the second kind. Zbl 1260.11016
2012
Series with central binomial coefficients, Catalan numbers, and harmonic numbers. Zbl 1291.11046
2012
Series with Hermite polynomials and applications. Zbl 1263.11039
2012
The integrals in Gradshteyn and Ryzhik. XXI: Hyperbolic functions. Zbl 1262.33001
Boyadzhiev, Khristo N.; Moll, Victor H.
2012
Series transformation formulas of Euler type, Hadamard product of series, and harmonic number identities. Zbl 1318.11041
2011
The Euler series transformation and the binomial identities of Ljunggren, Munarini and Simons. Zbl 1226.05015
2010
Exponential polynomials, Stirling numbers, and evaluation of some gamma integrals. Zbl 1237.11011
2009
Harmonic number identities via Euler’s transform. Zbl 1213.11054
2009
The integrals in Gradshteyn and Ryzhik. XI: The incomplete beta function. Zbl 1221.33003
Boyadzhiev, Khristo N.; Medina, Luis A.; Moll, Victor H.
2009
Alternating Euler sums at the negative integers. Zbl 1194.11090
2009
Power sum identities with generalized Stirling numbers. Zbl 1232.11032
2009
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials. Zbl 1221.11056
2008
The values of an Euler sum at the negative integers and a relation to a certain convolution of Bernoulli numbers. Zbl 1148.11046
2008
On Taylor’s coefficients of the Hurwitz zeta function. Zbl 1169.11036
2008
Derivative polynomials for tanh, tan, sech and sec in explicit form. Zbl 1205.11026
2007
A note on Bernoulli polynomials and solitons. Zbl 1165.37032
2007
Equiangular surfaces, self-similar surfaces, and the geometry of seashells. Zbl 1245.53009
2007
A series transformation formula and related polynomials. Zbl 1086.05006
2005
Consecutive evaluation of Euler sums. Zbl 0994.40003
2002
Integral representation of functions on sectors, functional calculus and norm estimates. Zbl 1046.47027
2002
Evaluation of Euler-Zagier sums. Zbl 1015.11046
2001
Kreǐn’s trace formula and the spectral shift function. Zbl 0983.47009
2001
Norm estimates for commutators of operators. Zbl 0922.47011
1998
Strong stability of Hilbert space contraction semigroups. Zbl 0843.47026
1995
Spectral theorem for unbounded strongly continuous groups on a Hilbert space. Zbl 0820.47017
1994
Logarithms and imaginary powers of operators on Hilbert spaces. Zbl 0819.47018
1994
Generation of generators of holomorphic semigroups. Zbl 0796.47009
Berg, Christian; Boyadzhiev, Khristo; deLaubenfels, Ralph
1993
Boundary values of holomorphic semigroups. Zbl 0797.47023
1993
Mean value theorems for traces. Zbl 0812.46051
1993
Semigroups and resolvents of bounded variation imaginary powers and $$H^ \infty$$ functional calculus. Zbl 0779.47036
1992
$$H^ \infty$$ functional calculus for perturbations of generators of holomorphic semigroups. Zbl 0738.47018
Boyadzhiev, Khristo N.; deLaubenfels, Ralph J.
1991
Some inequalities for generalized commutators. Zbl 0731.47036
1990
Poisson integrals of the Pincus principal function for hyponormal operators. Zbl 0699.47015
1989
A many-variable Landau-Kolmogorov inequality. Zbl 0626.47039
1987
An asymptotic Fuglede theorem for generators of $$C_ 0$$ groups. Zbl 0617.47033
1987
Characterization of the generators of $$C_ 0$$ semigroups which leave a convex set invariant. Zbl 0555.47027
1984
A generalization of the Fuglede-Putnam theorem. Zbl 0537.47023
1983
all top 5

#### Cited by 260 Authors

 16 Boyadzhiev, Khristo N. 9 Mirotin, Adol’f Rubimovich 8 Xu, Ce 6 deLaubenfels, Ralph J. 6 Kargin, Levent 6 Qi, Feng 5 Simsek, Yilmaz 5 Tomilov, Yuri 4 Campbell, John Maxwell 4 Dil, Ayhan 4 ElMennaoui, Omar 4 Haase, Markus 4 Rahmani, Mourad 4 Srivastava, Hari Mohan 3 Batir, Necdet 3 Batty, Charles J. K. 3 Candelpergher, Bernard 3 Chu, Wenchang 3 Coppo, Marc-Antoine 3 Corcino, Roberto Bagsarsa 3 Gil’, Michael Iosif 3 Gomilko, Alexandre M. 3 He, Yuan 3 Keyantuo, Valentin 3 Kucukoglu, Irem 3 Mansour, Toufik 3 Moll, Victor Hugo 3 Rządkowski, Grzegorz 3 Vignat, Christophe 3 Xu, Aimin 2 Avalos, George 2 Bagno, Eli 2 Boutiche, Mohamed Amine 2 Can, Mumun 2 Cen, Zhongdi 2 Chill, Ralph 2 Cvijović, Djurdje 2 Dixit, Atul 2 Ejsmont, Wiktor 2 Fu, Yu 2 Fugère, Benoît-Jean 2 Gaboury, Sébastien 2 Galé, José E. 2 Grobbelaar-Van Dalsen, Marié 2 Guo, Bai-Ni 2 Hofert, Marius 2 Khan, Waseem Ahmed 2 Kriegler, Christoph 2 Kruchinin, Dmitry V. 2 Lehner, Franz 2 Levan, Nhan 2 Li, Aijuan 2 Luo, Qiuming 2 Mező, István 2 Miana, Pedro J. 2 Nantomah, Kwara 2 Navas, Luis M. 2 Pathan, Mahmood Ahmad 2 Privault, Nicolas 2 Qin, Huizeng 2 Ruiz, Francisco J. 2 Schilling, René Leander 2 Schork, Matthias 2 Sinha, Kalyan B. 2 Sofo, Anthony 2 Tremblay, Richard E. 2 Varona Malumbres, Juan Luis 2 Wang, Weiping 2 Wang, Weiping 2 Weis, Lutz W. 2 Yazar, Musa Nurullah 1 Abel, Ulrich 1 Achlioptas, Dimitris 1 Acikgoz, Mehmet 1 Al-Hamdani, Summer 1 Albeverio, Sergio A. 1 Aliev, Ilham A. 1 Alkan, Emre 1 Alzer, Horst 1 Amdeberhan, Tewodros 1 Anderssen, Robert Scott 1 Andrianesis, Panagiotis 1 Araci, Serkan 1 Arendt, Wolfgang 1 Atvinovskii, A. A. 1 Babaarslan, Murat 1 Bäumer, Boris 1 Bayad, Abdelmejid 1 Belbachir, Hacene 1 Bendikov, Alexander D. 1 Bényi, Beáta 1 Bera, Sudip 1 Bhatia, Rajendra 1 Biagioli, Riccardo 1 Blackburn, Simon R. 1 Blower, Gordon 1 Blunck, Sönke 1 Bordellès, Olivier 1 Borghi, Riccardo 1 Borwein, Jonathan Michael ...and 160 more Authors
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#### Cited in 112 Serials

 13 Journal of Mathematical Analysis and Applications 9 Applied Mathematics and Computation 9 Journal of Number Theory 8 Journal of Functional Analysis 8 Proceedings of the American Mathematical Society 6 Semigroup Forum 6 The Ramanujan Journal 5 Mathematische Annalen 5 Turkish Journal of Mathematics 5 Journal of Integer Sequences 4 Integral Transforms and Special Functions 4 International Journal of Number Theory 3 Analysis Mathematica 3 Indian Journal of Pure & Applied Mathematics 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Computational and Applied Mathematics 3 Transactions of the American Mathematical Society 3 Applied Mathematics Letters 3 Mediterranean Journal of Mathematics 3 Contributions to Discrete Mathematics 3 Scientia. Series A: Mathematical Sciences. New Series 3 Operators and Matrices 2 Bulletin of the Australian Mathematical Society 2 Discrete Mathematics 2 Lithuanian Mathematical Journal 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Advances in Mathematics 2 Integral Equations and Operator Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of Multivariate Analysis 2 Mathematische Zeitschrift 2 Quaestiones Mathematicae 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Journal of Difference Equations and Applications 2 Journal of Nonlinear Mathematical Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Advances in Difference Equations 2 Complex Analysis and Operator Theory 2 Acta Universitatis Sapientiae. Mathematica 2 International Journal of Combinatorics 1 International Journal of Mathematical Education in Science and Technology 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 The Annals of Probability 1 Demonstratio Mathematica 1 Fasciculi Mathematici 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Journal of Optimization Theory and Applications 1 Journal of Soviet Mathematics 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Results in Mathematics 1 SIAM Journal on Computing 1 Siberian Mathematical Journal 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 Graphs and Combinatorics 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 Random Structures & Algorithms 1 Aequationes Mathematicae 1 Chinese Science Bulletin 1 The Australasian Journal of Combinatorics 1 Russian Mathematics 1 Experimental Mathematics 1 Tatra Mountains Mathematical Publications 1 Russian Journal of Mathematical Physics 1 The Electronic Journal of Combinatorics 1 Bernoulli 1 The Journal of Fourier Analysis and Applications 1 Arab Journal of Mathematical Sciences 1 Séminaire Lotharingien de Combinatoire 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Mathematical Inequalities & Applications 1 Fractional Calculus & Applied Analysis 1 Communications of the Korean Mathematical Society 1 Integers 1 Journal of Evolution Equations 1 Journal of the Australian Mathematical Society 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Central European Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 Applications and Applied Mathematics 1 Online Journal of Analytic Combinatorics ...and 12 more Serials
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#### Cited in 35 Fields

 108 Number theory (11-XX) 67 Operator theory (47-XX) 52 Special functions (33-XX) 48 Combinatorics (05-XX) 19 Real functions (26-XX) 17 Functional analysis (46-XX) 14 Probability theory and stochastic processes (60-XX) 12 Partial differential equations (35-XX) 12 Sequences, series, summability (40-XX) 10 Functions of a complex variable (30-XX) 10 Numerical analysis (65-XX) 7 Ordinary differential equations (34-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 3 Measure and integration (28-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)