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Komatsu, Takao

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Author ID: komatsu.takao Recent zbMATH articles by "Komatsu, Takao"
Published as: Komatsu, Takao; Komatsu, T.
Homepage: https://sites.google.com/view/takaokomatsu/
External Links: MGP · Google Scholar · ResearchGate
Documents Indexed: 189 Publications since 1991, including 3 Books
Reviewing Activity: 186 Reviews
all top 5

Serials

13 The Fibonacci Quarterly
9 Journal of Number Theory
8 Tokyo Journal of Mathematics
8 Journal of Computational Analysis and Applications
7 Integers
5 Acta Mathematica Hungarica
4 Lithuanian Mathematical Journal
4 Acta Arithmetica
4 RIMS Kokyuroku
4 Advances in Difference Equations
4 International Journal of Number Theory
3 Quaestiones Mathematicae
3 Mathematica Pannonica
3 Linear Algebra and its Applications
3 Indagationes Mathematicae. New Series
3 Journal de Théorie des Nombres de Bordeaux
3 Integral Transforms and Special Functions
3 Mathematical Communications
3 Far East Journal of Mathematical Sciences
3 RIMS Kôkyûroku Bessatsu
2 Bulletin of the Australian Mathematical Society
2 Periodica Mathematica Hungarica
2 Revue Roumaine de Mathématiques Pures et Appliquées
2 Ars Combinatoria
2 Mathematica Slovaca
2 Monatshefte für Mathematik
2 Publicationes Mathematicae
2 Tsukuba Journal of Mathematics
2 Kyushu Journal of Mathematics
2 Turkish Journal of Mathematics
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 The Ramanujan Journal
2 Journal of Integer Sequences
2 Discussiones Mathematicae. General Algebra and Applications
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Mathematical Reports
2 JP Journal of Algebra, Number Theory and Applications
2 Mediterranean Journal of Mathematics
2 Sarajevo Journal of Mathematics
2 AIP Conference Proceedings
2 Annales Mathematicae et Informaticae
2 Ars Mathematica Contemporanea
2 Journal of Combinatorics and Number Theory
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Ukrainian Mathematical Journal
1 Mathematics of Computation
1 Acta Scientiarum Mathematicarum
1 Bulletin de la Société Mathématique de France
1 Colloquium Mathematicum
1 Czechoslovak Mathematical Journal
1 Hokkaido Mathematical Journal
1 Journal of the Korean Mathematical Society
1 Japanese Journal of Mathematics. New Series
1 Kodai Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Aequationes Mathematicae
1 Glasnik Matematički. Serija III
1 Irish Mathematical Society Bulletin
1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică
1 Congressus Numerantium
1 Filomat
1 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 East-West Journal of Mathematics
1 Journal of Nonlinear and Convex Analysis
1 Journal of the Australian Mathematical Society
1 Proceedings of the Jangjeon Mathematical Society
1 Advanced Studies in Contemporary Mathematics (Kyungshang)
1 Contributions to Discrete Mathematics
1 Seminar on Mathematical Sciences
1 Moscow Journal of Combinatorics and Number Theory
1 Palestine Journal of Mathematics
1 Journal of Discrete Mathematics
1 Open Mathematics

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 475 times in 215 Documents Cited by Year
Poly-Cauchy numbers. Zbl 1295.11024
Komatsu, Takao
30
2013
Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010
Komatsu, Takao
19
2013
Poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1393.11019
Cenkci, Mehmet; Komatsu, Takao
18
2015
Hypergeometric Cauchy numbers. Zbl 1301.11030
Komatsu, Takao
15
2013
Incomplete Cauchy numbers. Zbl 1389.11059
Komatsu, T.; Mező, I.; Szalay, L.
13
2016
Incomplete poly-Cauchy numbers. Zbl 1352.11029
Komatsu, Takao
12
2016
On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019
Holliday, Sarah H.; Komatsu, Takao
12
2011
Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers. Zbl 1289.11021
Komatsu, Takao; Luca, Florian
12
2013
Barnes-type degenerate Bernoulli polynomials. Zbl 1318.11031
Kim, Dae San; Kim, Taekyun; Dolgy, Dmitry V.; Komatsu, Takao
11
2015
Substitution invariant Beatty sequences. Zbl 0868.11015
Komatsu, Takao; van der Poorten, Alfred J.
10
1996
Shifted poly-Cauchy numbers. Zbl 1320.11018
Komatsu, Takao; Szalay, László
9
2014
On the sum of reciprocals of numbers satisfying a recurrence relation of order \(s\). Zbl 1238.11012
Komatsu, Takao; Laohakosol, Vichian
9
2010
Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers. Zbl 1389.11054
Komatsu, Takao; Liptai, Kálmán; Mező, István
9
2016
Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities. Zbl 1349.11037
Belbachir, Hacène; Komatsu, Takao; Szalay, László
9
2014
Some determinants involving incomplete Fubini numbers. Zbl 1438.11062
Komatsu, Takao; Ramírez, José L.
9
2018
On Hurwitzian and Tasoev’s continued fractions. Zbl 1026.11012
Komatsu, Takao
8
2003
Arithmetical properties of the leaping convergents of \(e^{1/s}\). Zbl 1075.11004
Komatsu, Takao
8
2004
The fractional part of \(n\theta + \phi\) and Beatty sequences. Zbl 0849.11027
Komatsu, Takao
7
1995
On Tasoev’s continued fractions. Zbl 1053.11006
Komatsu, Takao
7
2003
Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068
Komatsu, Takao; Yuan, Pingzhi
7
2017
Complementary Euler numbers. Zbl 1413.11126
Komatsu, Takao
7
2017
A generalization of poly-Cauchy numbers and their properties. Zbl 1295.11025
Komatsu, Takao; Laohakosol, Vichian; Liptai, Kálmán
7
2013
Poly-Cauchy polynomials. Zbl 1307.05013
Kamano, Ken; Komatsu, Takao
7
2013
An approximation property of quadratic irrationals. Zbl 1027.11047
Komatsu, Takao
6
2002
A certain power series associated with a Beatty sequence. Zbl 0858.11013
Komatsu, Takao
6
1996
Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials. Zbl 1343.05024
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun
6
2014
Hurwitz and Tasoev continued fractions. Zbl 1095.11008
Komatsu, Takao
6
2005
\(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson’s integrals. Zbl 1371.11055
Komatsu, Takao
6
2016
On the nearest integer of the sum of reciprocal Fibonacci numbers. Zbl 1287.11010
Komatsu, Takao
6
2011
On inhomogeneous continued fraction expansions and inhomogeneous diophantine approximation. Zbl 0878.11029
Komatsu, Takao
5
1997
A certain power series and the inhomogeneous continued fraction expansions. Zbl 0872.11033
Komatsu, Takao
5
1996
Some combinatorial properties of the leaping convergents. Zbl 1178.11009
Komatsu, Takao
5
2007
More properties on multi-poly-Euler polynomials. Zbl 1364.11055
Jolany, Hassan; Corcino, Roberto B.; Komatsu, Takao
5
2015
On the characteristic word of the inhomogeneous Beatty sequence. Zbl 0829.11012
Komatsu, Takao
4
1995
Barnes’ multiple Bernoulli and poly-Bernoulli mixed-type polynomials. Zbl 1319.05012
Dolgy, Dmitry V.; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun
4
2015
Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the \(q\)-Hurwitz-Lerch zeta function. Zbl 1427.11022
Komatsu, Takao; Ramírez, José L.
4
2017
Exact \(p\)-adic valuations of Stirling numbers of the first kind. Zbl 1426.11016
Komatsu, Takao; Young, Paul Thomas
4
2017
A recurrence formula for leaping convergents of non-regular continued fractions. Zbl 1132.05007
Elsner, Carsten; Komatsu, Takao
4
2008
Hurwitz continued fractions with confluent hypergeometric functions. Zbl 1163.11009
Komatsu, Takao
4
2007
Some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers. Zbl 1271.05009
Komatsu, T.; Liptai, Kálmán; Szalay, László
4
2012
Sums of products of Cauchy numbers, including poly-Cauchy numbers. Zbl 1294.11027
Komatsu, Takao
4
2013
Balancing with binomial coefficients. Zbl 1372.11053
Komatsu, Takao; Szalay, László
4
2014
Recurrence relations of the leaping convergents. Zbl 1178.11008
Komatsu, Takao
3
2003
Tasoev’s continued fractions and Rogers-Ramanujan continued fractions. Zbl 1082.11005
Komatsu, Takao
3
2004
Higher-order Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials. Zbl 1333.05021
Kim, Taekyun; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun
3
2015
Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1420.11046
Komatsu, Takao; Ramírez, José L.; Sirvent, Víctor F.
3
2017
Barnes’ multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials. Zbl 1417.05008
Kim, Dae San; Kim, Taekyun; Seo, Jong-Jin; Komatsu, Takao
3
2014
Leaping convergents of Hurwitz continued fractions. Zbl 1144.11007
Komatsu, Takao
3
2008
Independence measures of arithmetic functions. Zbl 1226.11076
Komatsu, Takao; Laohakosol, Vichian; Ruengsinsub, Pattira
3
2011
Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete \(r\)-Stirling numbers. Zbl 1422.11046
Komatsu, Takao; Ramírez, José L.
3
2017
Convolution identities for Cauchy numbers. Zbl 1320.11020
Komatsu, Takao
3
2014
Some identities of Cauchy numbers associated with continued fractions. Zbl 1446.11009
Dey, Pallab Kanti; Komatsu, Takao
3
2019
Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041
Komatsu, Takao; Simsek, Yilmaz
3
2016
On continued fraction expansions of Fibonacci and Lucas Dirichlet series. Zbl 1220.11007
Komatsu, Takao
2
2009
On inhomogeneous diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm. Zbl 0930.11049
Komatsu, Takao
2
1998
Substitution invariant inhomogeneous Beatty sequences. Zbl 0940.11012
Komatsu, Takao
2
1999
An algorithm of infinite sums representations and Tasoev continued fractions. Zbl 1074.11005
Komatsu, Takao
2
2005
Simple continued fraction expansions of some values of certain hypergeometric functions. Zbl 1045.11006
Komatsu, Takao
2
2003
On the number of solutions of the Diophantine equation of Frobenius – general case. Zbl 1049.11028
Komatsu, Takao
2
2003
Shrinking the period length of quasi-periodic continued fractions. Zbl 1219.11010
Komatsu, Takao
2
2009
Higher-order convolution identities for Cauchy numbers. Zbl 1347.05009
Komatsu, Takao
2
2016
\(q\)-multiparameter-Bernoulli polynomials and \(q\)-multiparameter-Cauchy polynomials by Jackson’s integrals. Zbl 1351.11018
Komatsu, Takao; Szalay, László
2
2016
On the multiplicative order of \(F_{N+1}/f_{N}\) modulo \(F_{M}\). Zbl 1332.11019
Komatsu, Takao; Luca, Florian; Tachiya, Yohei
2
2013
Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials. Zbl 1409.11015
Komatsu, Takao; Luca, Florian
2
2017
Several explicit formulae of Cauchy polynomials in terms of \(r\)-Stirling numbers. Zbl 1374.05018
Komatsu, Takao; Mező, István
2
2016
Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers. Zbl 1399.11074
Komatsu, Takao
2
2017
Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius-Euler mixed-type polynomials. Zbl 1343.05023
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In
2
2014
On generalized multi poly-Euler polynomials. Zbl 1401.11056
Corcino, Roberto B.; Jolany, Hassan; Corcino, Cristina B.; Komatsu, Takao
2
2017
Characterization of linear recurrences associated to rays in Pascal’s triangle. Zbl 1211.11020
Belbachir, Hacène; Komatsu, Takao; Szalay, László
2
2010
Some combinatorial properties of the leaping convergents. II. Zbl 1203.11010
Komatsu, Takao
2
2010
Liouville numbers in the non-archimedean case. Zbl 1223.11085
Chaichana, Tuangrat; Komatsu, Takao; Laohakosol, Vichian
2
2010
Upper bounds on cyclotomic numbers. Zbl 1261.11082
Betsumiya, Koichi; Hirasaka, Mitsugu; Komatsu, Takao; Munemasa, Akihiro
2
2013
On the residue classes of integer sequences satisfying a linear three term recurrence formula. Zbl 1233.11006
Elsner, Carsten; Komatsu, Takao
2
2008
Poly-Cauchy polynomials and generalized Bernoulli polynomials. Zbl 1340.05003
Komatsu, Takao; Shibukawa, Genki
2
2014
\(q\)-poly-Cauchy numbers associated with Jackson integral. Zbl 1322.05026
Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun; Seo, Jong-Jin
2
2015
Explicit expressions for the related numbers of higher order Appell polynomials. Zbl 07265481
Hu, Su; Komatsu, Takao
2
2020
Continued fraction expansions of the generating functions of Bernoulli and related numbers. Zbl 1461.11020
Komatsu, Takao
2
2020
Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers. Zbl 1428.11044
Komatsu, Takao; Young, Paul Thomas
2
2018
Generalized hypergeometric Bernoulli numbers. Zbl 07348579
Chakraborty, Kalyan; Komatsu, Takao
2
2021
On a Zaremba’s conjecture for powers. Zbl 1068.11004
Komatsu, Takao
1
2005
Leaping convergents of Hurwitz continued fractions. Zbl 1255.05021
Komatsu, Takao
1
2011
Leaping convergents of Tasoev continued fractions. Zbl 1255.05022
Komatsu, Takao
1
2011
Continued fractions and Newton’s approximations. II. Zbl 0992.11008
Komatsu, Takao
1
2001
On an inhomogeneous Diophantine approximation problem of \(e\). Zbl 0951.11530
Komatsu, Takao
1
1999
On inhomogeneous diophantine approximation with some quasi-periodic expressions. Zbl 0949.11035
Komatsu, T.
1
1999
Rational approximations to Tasoev continued fractions. Zbl 1072.11049
Komatsu, Takao
1
2004
Rational approximations to Tasoev continued fractions. II. Zbl 1128.11004
Komatsu, T.
1
2005
Convolution identities for Cauchy numbers of the second kind. Zbl 1345.11018
Komatsu, Takao
1
2015
An umbral calculus approach to poly-Cauchy polynomials with a \(q\) parameter. Zbl 1318.05007
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Seo, Jong-Jin
1
2015
Approximation of values of hypergeometric functions by restricted rationals. Zbl 1167.11026
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata
1
2007
On a divisibility relation for Lucas sequences. Zbl 1402.11023
Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon
1
2016
Cauchy-Carlitz numbers. Zbl 1400.11065
Kaneko, Hajime; Komatsu, Takao
1
2016
Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind. Zbl 1400.11067
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In; Lee, Sang-Hun
1
2016
New characterization of Appell polynomials. Zbl 1366.33010
Bayad, Abdelmejid; Komatsu, Takao
1
2017
Barnes-type Daehee polynomials. Zbl 1417.05007
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Seo, Jong-Jin
1
2014
Higher-order identities for Fibonacci numbers. Zbl 1396.11037
Komatsu, Takao; Masáková, Zuzana; Pelantová, Edita
1
2014
Some identities for sequences of binomial sums of generalized Fibonacci numbers. Zbl 1400.11038
Cook, Charles K.; Komatsu, Takao
1
2016
Several explicit formulae for Bernoulli polynomials. Zbl 1364.11056
Komatsu, Takao; Pita Ruiz V., Claudio de J.
1
2016
Extension of Baker’s analogue of Littlewood’s diophantine approximation problem. Zbl 0756.11017
Komatsu, Takao
1
1991
More on Hurwitz and Tasoev continued fractions. Zbl 1171.11005
Komatsu, Takao
1
2008
Generalized hypergeometric Bernoulli numbers. Zbl 07348579
Chakraborty, Kalyan; Komatsu, Takao
2
2021
Infinite series containing generalized \(q\)-harmonic numbers. Zbl 1458.05032
Komatsu, Takao; Li, Rusen
1
2021
Explicit expressions for the related numbers of higher order Appell polynomials. Zbl 07265481
Hu, Su; Komatsu, Takao
2
2020
Continued fraction expansions of the generating functions of Bernoulli and related numbers. Zbl 1461.11020
Komatsu, Takao
2
2020
A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. Zbl 1446.11037
Komatsu, T.; Ramírez, J. L.; Sirvent, V. F.
1
2020
Two types of hypergeometric degenerate Cauchy numbers. Zbl 07212002
Komatsu, Takao
1
2020
A parametric type of Bernoulli polynomials with level 3. Zbl 07212752
Komatsu, Takao
1
2020
Shifted Cauchy numbers. Zbl 1444.11041
Komatsu, Takao; Pita-Ruiz, Claudio
1
2020
Some identities of Cauchy numbers associated with continued fractions. Zbl 1446.11009
Dey, Pallab Kanti; Komatsu, Takao
3
2019
Convolution identities for Tribonacci numbers with symmetric formulae. Zbl 1463.11041
Komatsu, Takao; Li, Rusen
1
2019
Lehmer’s generalized Euler numbers in hypergeometric functions. Zbl 1418.11036
Barman, Rupam; Komatsu, Takao
1
2019
Several properties of multiple hypergeometric Euler numbers. Zbl 1436.11026
Komatsu, Takao; Zhang, Wenpeng
1
2019
Some determinants involving incomplete Fubini numbers. Zbl 1438.11062
Komatsu, Takao; Ramírez, José L.
9
2018
Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers. Zbl 1428.11044
Komatsu, Takao; Young, Paul Thomas
2
2018
Incomplete multi-poly-Bernoulli numbers and multiple zeta values. Zbl 1435.11045
Komatsu, Takao
1
2018
Zeta functions interpolating the convolution of the Bernoulli polynomials. Zbl 1440.11024
Bayad, Abdelmejid; Komatsu, Takao
1
2018
Convolution identities for Tribonacci numbers. Zbl 06890353
Komatsu, Takao
1
2018
Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068
Komatsu, Takao; Yuan, Pingzhi
7
2017
Complementary Euler numbers. Zbl 1413.11126
Komatsu, Takao
7
2017
Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the \(q\)-Hurwitz-Lerch zeta function. Zbl 1427.11022
Komatsu, Takao; Ramírez, José L.
4
2017
Exact \(p\)-adic valuations of Stirling numbers of the first kind. Zbl 1426.11016
Komatsu, Takao; Young, Paul Thomas
4
2017
Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1420.11046
Komatsu, Takao; Ramírez, José L.; Sirvent, Víctor F.
3
2017
Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete \(r\)-Stirling numbers. Zbl 1422.11046
Komatsu, Takao; Ramírez, José L.
3
2017
Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials. Zbl 1409.11015
Komatsu, Takao; Luca, Florian
2
2017
Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers. Zbl 1399.11074
Komatsu, Takao
2
2017
On generalized multi poly-Euler polynomials. Zbl 1401.11056
Corcino, Roberto B.; Jolany, Hassan; Corcino, Cristina B.; Komatsu, Takao
2
2017
New characterization of Appell polynomials. Zbl 1366.33010
Bayad, Abdelmejid; Komatsu, Takao
1
2017
The log-convexity of the poly-Cauchy numbers. Zbl 1423.05025
Komatsu, Takao; Zhao, Feng-Zhen
1
2017
Incomplete Cauchy numbers. Zbl 1389.11059
Komatsu, T.; Mező, I.; Szalay, L.
13
2016
Incomplete poly-Cauchy numbers. Zbl 1352.11029
Komatsu, Takao
12
2016
Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers. Zbl 1389.11054
Komatsu, Takao; Liptai, Kálmán; Mező, István
9
2016
\(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson’s integrals. Zbl 1371.11055
Komatsu, Takao
6
2016
Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041
Komatsu, Takao; Simsek, Yilmaz
3
2016
Higher-order convolution identities for Cauchy numbers. Zbl 1347.05009
Komatsu, Takao
2
2016
\(q\)-multiparameter-Bernoulli polynomials and \(q\)-multiparameter-Cauchy polynomials by Jackson’s integrals. Zbl 1351.11018
Komatsu, Takao; Szalay, László
2
2016
Several explicit formulae of Cauchy polynomials in terms of \(r\)-Stirling numbers. Zbl 1374.05018
Komatsu, Takao; Mező, István
2
2016
On a divisibility relation for Lucas sequences. Zbl 1402.11023
Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon
1
2016
Cauchy-Carlitz numbers. Zbl 1400.11065
Kaneko, Hajime; Komatsu, Takao
1
2016
Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind. Zbl 1400.11067
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In; Lee, Sang-Hun
1
2016
Some identities for sequences of binomial sums of generalized Fibonacci numbers. Zbl 1400.11038
Cook, Charles K.; Komatsu, Takao
1
2016
Several explicit formulae for Bernoulli polynomials. Zbl 1364.11056
Komatsu, Takao; Pita Ruiz V., Claudio de J.
1
2016
Poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1393.11019
Cenkci, Mehmet; Komatsu, Takao
18
2015
Barnes-type degenerate Bernoulli polynomials. Zbl 1318.11031
Kim, Dae San; Kim, Taekyun; Dolgy, Dmitry V.; Komatsu, Takao
11
2015
More properties on multi-poly-Euler polynomials. Zbl 1364.11055
Jolany, Hassan; Corcino, Roberto B.; Komatsu, Takao
5
2015
Barnes’ multiple Bernoulli and poly-Bernoulli mixed-type polynomials. Zbl 1319.05012
Dolgy, Dmitry V.; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun
4
2015
Higher-order Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials. Zbl 1333.05021
Kim, Taekyun; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun
3
2015
\(q\)-poly-Cauchy numbers associated with Jackson integral. Zbl 1322.05026
Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun; Seo, Jong-Jin
2
2015
Convolution identities for Cauchy numbers of the second kind. Zbl 1345.11018
Komatsu, Takao
1
2015
An umbral calculus approach to poly-Cauchy polynomials with a \(q\) parameter. Zbl 1318.05007
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Seo, Jong-Jin
1
2015
Higher order convolution identities for Cauchy numbers of the second kind. Zbl 1331.05019
Komatsu, Takao
1
2015
Shifted poly-Cauchy numbers. Zbl 1320.11018
Komatsu, Takao; Szalay, László
9
2014
Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities. Zbl 1349.11037
Belbachir, Hacène; Komatsu, Takao; Szalay, László
9
2014
Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials. Zbl 1343.05024
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun
6
2014
Balancing with binomial coefficients. Zbl 1372.11053
Komatsu, Takao; Szalay, László
4
2014
Barnes’ multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials. Zbl 1417.05008
Kim, Dae San; Kim, Taekyun; Seo, Jong-Jin; Komatsu, Takao
3
2014
Convolution identities for Cauchy numbers. Zbl 1320.11020
Komatsu, Takao
3
2014
Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius-Euler mixed-type polynomials. Zbl 1343.05023
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In
2
2014
Poly-Cauchy polynomials and generalized Bernoulli polynomials. Zbl 1340.05003
Komatsu, Takao; Shibukawa, Genki
2
2014
Barnes-type Daehee polynomials. Zbl 1417.05007
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Seo, Jong-Jin
1
2014
Higher-order identities for Fibonacci numbers. Zbl 1396.11037
Komatsu, Takao; Masáková, Zuzana; Pelantová, Edita
1
2014
Some generalized Fibonacci identities including powers and binomial coefficients. Zbl 1293.11024
Komatsu, Takao
1
2014
Poly-Cauchy numbers. Zbl 1295.11024
Komatsu, Takao
30
2013
Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010
Komatsu, Takao
19
2013
Hypergeometric Cauchy numbers. Zbl 1301.11030
Komatsu, Takao
15
2013
Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers. Zbl 1289.11021
Komatsu, Takao; Luca, Florian
12
2013
A generalization of poly-Cauchy numbers and their properties. Zbl 1295.11025
Komatsu, Takao; Laohakosol, Vichian; Liptai, Kálmán
7
2013
Poly-Cauchy polynomials. Zbl 1307.05013
Kamano, Ken; Komatsu, Takao
7
2013
Sums of products of Cauchy numbers, including poly-Cauchy numbers. Zbl 1294.11027
Komatsu, Takao
4
2013
On the multiplicative order of \(F_{N+1}/f_{N}\) modulo \(F_{M}\). Zbl 1332.11019
Komatsu, Takao; Luca, Florian; Tachiya, Yohei
2
2013
Upper bounds on cyclotomic numbers. Zbl 1261.11082
Betsumiya, Koichi; Hirasaka, Mitsugu; Komatsu, Takao; Munemasa, Akihiro
2
2013
On the distance between products of consecutive Fibonacci numbers and powers of Fibonacci numbers. Zbl 1282.11010
Bravo, Jhon J.; Komatsu, Takao; Luca, Florian
1
2013
Some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers. Zbl 1271.05009
Komatsu, T.; Liptai, Kálmán; Szalay, László
4
2012
Independence measures of arithmetic functions. II. Zbl 1254.11073
Komatsu, Takao; Laohakosol, Vichian; Ruengsinsub, Pattira
1
2012
Some exact algebraic expressions for the tails of Tasoev continued fractions. Zbl 1272.11018
Komatsu, Takao
1
2012
On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019
Holliday, Sarah H.; Komatsu, Takao
12
2011
On the nearest integer of the sum of reciprocal Fibonacci numbers. Zbl 1287.11010
Komatsu, Takao
6
2011
Independence measures of arithmetic functions. Zbl 1226.11076
Komatsu, Takao; Laohakosol, Vichian; Ruengsinsub, Pattira
3
2011
Leaping convergents of Hurwitz continued fractions. Zbl 1255.05021
Komatsu, Takao
1
2011
Leaping convergents of Tasoev continued fractions. Zbl 1255.05022
Komatsu, Takao
1
2011
On the sum of reciprocal Tribonacci numbers. Zbl 1249.11025
Komatsu, Takao
1
2011
On the sum of reciprocals of numbers satisfying a recurrence relation of order \(s\). Zbl 1238.11012
Komatsu, Takao; Laohakosol, Vichian
9
2010
Characterization of linear recurrences associated to rays in Pascal’s triangle. Zbl 1211.11020
Belbachir, Hacène; Komatsu, Takao; Szalay, László
2
2010
Some combinatorial properties of the leaping convergents. II. Zbl 1203.11010
Komatsu, Takao
2
2010
Liouville numbers in the non-archimedean case. Zbl 1223.11085
Chaichana, Tuangrat; Komatsu, Takao; Laohakosol, Vichian
2
2010
Powers of Sierpiński numbers base \(b\). Zbl 1260.11006
Caldwell, Chris K.; Komatsu, Takao
1
2010
On continued fraction expansions of Fibonacci and Lucas Dirichlet series. Zbl 1220.11007
Komatsu, Takao
2
2009
Shrinking the period length of quasi-periodic continued fractions. Zbl 1219.11010
Komatsu, Takao
2
2009
A diophantine approximation of \(e^{1/s}\) in terms of integrals. Zbl 1241.11076
Komatsu, Takao
1
2009
On convergents formed from Diophantine equations. Zbl 1233.11031
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata
1
2009
A recurrence formula for leaping convergents of non-regular continued fractions. Zbl 1132.05007
Elsner, Carsten; Komatsu, Takao
4
2008
Leaping convergents of Hurwitz continued fractions. Zbl 1144.11007
Komatsu, Takao
3
2008
On the residue classes of integer sequences satisfying a linear three term recurrence formula. Zbl 1233.11006
Elsner, Carsten; Komatsu, Takao
2
2008
More on Hurwitz and Tasoev continued fractions. Zbl 1171.11005
Komatsu, Takao
1
2008
Some combinatorial properties of the leaping convergents. Zbl 1178.11009
Komatsu, Takao
5
2007
Hurwitz continued fractions with confluent hypergeometric functions. Zbl 1163.11009
Komatsu, Takao
4
2007
Approximation of values of hypergeometric functions by restricted rationals. Zbl 1167.11026
Elsner, Carsten; Komatsu, Takao; Shiokawa, Iekata
1
2007
A proof of the continued fraction expansion of \(e^{2/s}\). Zbl 1124.11010
Komatsu, Takao
1
2007
Hurwitz and Tasoev continued fractions. Zbl 1095.11008
Komatsu, Takao
6
2005
An algorithm of infinite sums representations and Tasoev continued fractions. Zbl 1074.11005
Komatsu, Takao
2
2005
On a Zaremba’s conjecture for powers. Zbl 1068.11004
Komatsu, Takao
1
2005
...and 22 more Documents
all top 5

Cited by 216 Authors

56 Komatsu, Takao
21 Kim, Taekyun
19 Kim, Dae San
8 Ramírez, José Luis
7 Belbachir, Hacene
5 Dolgiĭ, Dmitriĭ Viktorovich
5 Mansour, Toufik
4 Elsner, Carsten
4 Laohakosol, Vichian
4 Lim, Dongkyu
4 Mező, István
4 Pelantová, Edita
4 Simsek, Yilmaz
4 Szalay, László
3 Adell, José Antonio
3 Choo, Younseok
3 Khan, Waseem Ahmad
3 Lekuona, Alberto
3 Lin, Xin
3 Luca, Florian
3 Masáková, Zuzana
3 Matala-aho, Tapani
3 Mehdaoui, Abdelghani
3 Pita-Ruiz, Claudio
3 Ray, Prasanta Kumar
3 Wang, Andrew Y. Z.
3 Young, Paul Thomas
2 Adelberg, Arnold M.
2 Ambrož, Petr
2 Amrouche, Said
2 Araci, Serkan
2 Aşan, Abdulkadir
2 Banks, William D.
2 Berthé, Valérie
2 Bilu, Yuri F.
2 Cenkci, Mehmet
2 Chekhova, Nataliya
2 Do, Younghae
2 Ferenczi, Sébastien
2 Glen, Amy
2 Göral, Haydar
2 Hančl, Jaroslav
2 Hare, Kevin G.
2 Haroon, Hiba
2 He, Yuan
2 Jung, Nam Soon
2 Kargin, Levent
2 Kim, Byungmoon
2 Komornik, Vilmos
2 Menken, Hamza
2 Moll, Victor Hugo
2 Parvaix, Bruno
2 Pizarro-Madariaga, Amalia
2 Sertbaş, Doğa Can
2 Shparlinski, Igor E.
2 Sirvent, Víctor F.
2 Wakhare, Tanay V.
2 Wu, Zhengang
2 Yardimci, Ahmet
2 Yuan, Pingzhi
2 Zhang, Fan
2 Zhang, Han
1 Abdel-Aty, Mahmoud
1 Adamczewski, Boris
1 Adiceam, Faustin
1 Ahmed, Mohammad Helal Uddin
1 Ahmia, Moussa
1 Ait-Amrane, Lyes
1 Akiyama, Shigeki
1 Alkan, Emre
1 Amdeberhan, Tewodros
1 Anselm, Maxwell
1 Araújo, Isabel M.
1 Arıkan, Talha
1 Barbero, Stefano
1 Barman, Rupam
1 Bényi, Beáta
1 Bérczes, Attila
1 Beyki, M. R.
1 Binner, Damanvir Singh
1 Bruyère, Véronique
1 Bugeaud, Yann
1 Caicedo, Jhon Bladimir
1 Cerruti, Umberto
1 Chaichana, Tuangrat
1 Chakraborty, Kalyan
1 Chen, Kwang-Wu
1 Chen, Xi
1 Chen, Yonggao
1 Chern, Shane
1 Choi, Junesang
1 Çolak, Cemile D.
1 Corcino, Roberto Bagsarsa
1 Cosgrave, John B.
1 Dajani, Karma
1 de Vries, Martijn
1 Dekking, Frederik Michel
1 Didier, Gilles
1 Dilcher, Karl
1 Do Duc, Tai
...and 116 more Authors
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Cited in 93 Serials

16 Journal of Number Theory
16 Advances in Difference Equations
10 Journal de Théorie des Nombres de Bordeaux
10 Journal of Inequalities and Applications
10 International Journal of Number Theory
6 Applied Mathematics and Computation
5 Lithuanian Mathematical Journal
5 Acta Mathematica Hungarica
5 Journal of Integer Sequences
5 Integers
4 Quaestiones Mathematicae
4 Turkish Journal of Mathematics
4 The Ramanujan Journal
4 Journal of Nonlinear Science and Applications
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Periodica Mathematica Hungarica
3 Mathematics of Computation
3 Tokyo Journal of Mathematics
3 Mediterranean Journal of Mathematics
2 Monatshefte für Mathematik
2 Theoretical Computer Science
2 European Journal of Combinatorics
2 Aequationes Mathematicae
2 Linear Algebra and its Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Indagationes Mathematicae. New Series
2 Integral Transforms and Special Functions
2 Journal of Difference Equations and Applications
2 Abstract and Applied Analysis
2 Honam Mathematical Journal
2 RAIRO. Theoretical Informatics and Applications
2 Far East Journal of Mathematical Sciences
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Symmetry
2 Journal of Applied Mathematics & Informatics
2 Open Mathematics
1 Bulletin of the Australian Mathematical Society
1 Israel Journal of Mathematics
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Acta Arithmetica
1 Advances in Mathematics
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Journal of Differential Equations
1 Journal of the Korean Mathematical Society
1 Mathematische Annalen
1 Mathematica Slovaca
1 Michigan Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Bulletin of the Korean Mathematical Society
1 Bulletin of the Iranian Mathematical Society
1 Facta Universitatis. Series Mathematics and Informatics
1 The Australasian Journal of Combinatorics
1 Russian Journal of Mathematical Physics
1 Filomat
1 The Electronic Journal of Combinatorics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Mathematical Communications
1 Annals of Combinatorics
1 Mathematica Moravica
1 LMS Journal of Computation and Mathematics
1 Communications of the Korean Mathematical Society
1 Acta et Commentationes Universitatis Tartuensis de Mathematica
1 Journal of the Australian Mathematical Society
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Analysis and Applications (Singapore)
1 Contributions to Discrete Mathematics
1 Journal of Modern Dynamics
1 Journal of Mathematical Inequalities
1 European Journal of Pure and Applied Mathematics
1 Ars Mathematica Contemporanea
1 Discrete Mathematics, Algorithms and Applications
1 Kyoto Journal of Mathematics
1 RAIRO. Theoretical Informatics and Applications
1 Palestine Journal of Mathematics
1 Transactions on Combinatorics
1 Journal of Classical Analysis
1 Mathematics
1 Journal of Discrete Mathematics
1 Chinese Journal of Mathematics
1 European Journal of Mathematics
1 International Journal of Applied and Computational Mathematics
1 Research in Number Theory
1 Algebraic Combinatorics

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