Edit Profile (opens in new tab) Komatsu, Takao Compute Distance To: Compute Author ID: komatsu.takao Published as: Komatsu, Takao; Komatsu, T. Homepage: https://sites.google.com/view/takaokomatsu/ External Links: MGP · Google Scholar · ResearchGate Documents Indexed: 218 Publications since 1991 3 Contributions as Editor Reviewing Activity: 232 Reviews Co-Authors: 67 Co-Authors with 108 Joint Publications 1,542 Co-Co-Authors all top 5 Co-Authors 105 single-authored 14 Kim, Dae San 14 Kim, Taekyun 10 Laohakosol, Vichian 10 Szalay, László 9 Ramírez, José Luis 7 Luca, Florian 7 Pita-Ruiz, Claudio 5 Elsner, Carsten 5 Lee, Sang Hun 4 Li, Rusen 4 Liptai, Kálmán 4 Panda, Gopal Krishna 3 Dolgiĭ, Dmitriĭ Viktorovich 3 Kamano, Ken 3 Kwon, Hyuck In 3 Mező, István 3 Shiokawa, Iekata 3 Sirvent, Víctor F. 3 Young, Paul Thomas 2 Aoki, Miho 2 Bayad, Abdelmejid 2 Belbachir, Hacene 2 Caldwell, Chris K. 2 Chaichana, Tuangrat 2 Corcino, Roberto Bagsarsa 2 Fel, Leonid G. 2 Hirasaka, Mitsugu 2 Jolany, Hassan 2 Kaneko, Hajime 2 Pizarro-Madariaga, Amalia 2 Rim, Seog-Hoon 2 Ruengsinsub, Pattira 2 Simsek, Yilmaz 2 Suriajaya, Ade Irma 2 Tangsupphathawat, Pinthira 2 Villamizar, Diego 2 Zhang, Wenpeng 2 Zhang, Yuan 1 Bango, Eli 1 Barman, Rupam 1 Beck, Matthias 1 Betsumiya, Koichi 1 Bhanja, Jagannath 1 Bilu, Yuri F. 1 Bravo, Jhon Jairo 1 Cenkci, Mehmet 1 Chakraborty, Kalyan 1 Cook, Charles K. 1 Corcino, Cristina Bordaje 1 Davala, Ravi Kumar 1 Dey, Pallab Kanti 1 Garber, David 1 Gessel, Ira Martin 1 Holliday, Sarah Heuss 1 Hu, Su 1 Kanasri, Narakorn Rompurk 1 Katsurada, Masanori 1 Kimberling, Clark H. 1 Masáková, Zuzana 1 Munemasa, Akihiro 1 Nakada, Hitoshi 1 Németh, László 1 Patel, Bijan Kumar 1 Patra, Asim 1 Pelantová, Edita 1 Rattanamoong, Jittinart 1 Ray, Prasanta Kumar 1 Shibukawa, Genki 1 Stănică, Pantelimon 1 Tachiya, Yohei 1 van der Poorten, Alfred J. 1 Yuan, Pingzhi 1 Yülüklü, Eda 1 Zhao, Fengzhen 1 Zhu, Huilin 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 5 Filomat 4 Lithuanian Mathematical Journal 4 Acta Arithmetica 4 RIMS Kokyuroku 4 Advances in Difference Equations 4 International Journal of Number Theory 3 Ars Combinatoria 3 Publicationes Mathematicae Debrecen 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 Kyushu Journal of Mathematics 3 Integral Transforms and Special Functions 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Mathematical Communications 3 Far East Journal of Mathematical Sciences 3 Mathematical Reports 3 Mediterranean Journal of Mathematics 3 RIMS Kôkyûroku Bessatsu 3 AIMS Mathematics 2 Bulletin of the Australian Mathematical Society 2 Periodica Mathematica Hungarica 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Mathematica Slovaca 2 Monatshefte für Mathematik 2 Tsukuba Journal of Mathematics 2 Aequationes Mathematicae 2 Turkish Journal of Mathematics 2 The Ramanujan Journal 2 Journal of Inequalities and Applications 2 Journal of Integer Sequences 2 Journal of Nonlinear and Convex Analysis 2 Discussiones Mathematicae. General Algebra and Applications 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 JP Journal of Algebra, Number Theory and Applications 2 Proceedings of the Jangjeon Mathematical Society 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 Discrete Applied Mathematics 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 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 Glasnik Matematički. Serija III 1 Irish Mathematical Society Bulletin 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 PU.M.A. Pure Mathematics and Applications 1 Congressus Numerantium 1 The Electronic Journal of Combinatorics 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Abstract and Applied Analysis 1 Annals of Combinatorics 1 East-West Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Hacettepe Journal of Mathematics and Statistics 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Miskolc Mathematical Notes 1 Contributions to Discrete Mathematics 1 Seminar on Mathematical Sciences 1 Afrika Matematika 1 Moscow Journal of Combinatorics and Number Theory 1 Palestine Journal of Mathematics 1 Carpathian Mathematical Publications 1 Journal of Discrete Mathematics 1 Open Mathematics 1 Linear and Nonlinear Analysis 1 Researches in Mathematics all top 5 Fields 221 Number theory (11-XX) 97 Combinatorics (05-XX) 27 Special functions (33-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 2 Group theory and generalizations (20-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 153 Publications have been cited 622 times in 287 Documents Cited by ▼ Year ▼ Poly-Cauchy numbers. Zbl 1295.11024Komatsu, Takao 34 2013 Poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1393.11019Cenkci, Mehmet; Komatsu, Takao 21 2015 Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010Komatsu, Takao 20 2013 Hypergeometric Cauchy numbers. Zbl 1301.11030Komatsu, Takao 19 2013 The polynomial part of a restricted partition function related to the Frobenius problem. Zbl 0982.05010Beck, Matthias; Gessel, Ira M.; Komatsu, Takao 17 2001 Incomplete poly-Cauchy numbers. Zbl 1352.11029Komatsu, Takao 16 2016 On the sum of reciprocal generalized Fibonacci numbers. Zbl 1233.11019Holliday, Sarah H.; Komatsu, Takao 16 2011 Some determinants involving incomplete Fubini numbers. Zbl 1438.11062Komatsu, Takao; Ramírez, José L. 16 2018 Incomplete Cauchy numbers. Zbl 1389.11059Komatsu, T.; Mező, I.; Szalay, L. 16 2016 Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities. Zbl 1349.11037Belbachir, Hacène; Komatsu, Takao; Szalay, László 15 2014 Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers. Zbl 1389.11054Komatsu, Takao; Liptai, Kálmán; Mező, István 14 2016 Complementary Euler numbers. Zbl 1413.11126Komatsu, Takao 13 2017 Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers. Zbl 1289.11021Komatsu, Takao; Luca, Florian 12 2013 Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068Komatsu, Takao; Yuan, Pingzhi 11 2017 Barnes-type degenerate Bernoulli polynomials. Zbl 1318.11031Kim, Dae San; Kim, Taekyun; Dolgy, Dmitry V.; Komatsu, Takao 11 2015 Shifted poly-Cauchy numbers. Zbl 1320.11018Komatsu, Takao; Szalay, László 10 2014 Substitution invariant Beatty sequences. Zbl 0868.11015Komatsu, Takao; van der Poorten, Alfred J. 10 1996 On the sum of reciprocals of numbers satisfying a recurrence relation of order \(s\). Zbl 1238.11012Komatsu, Takao; Laohakosol, Vichian 9 2010 Poly-Cauchy polynomials. Zbl 1307.05013Kamano, Ken; Komatsu, Takao 9 2013 On Hurwitzian and Tasoev’s continued fractions. Zbl 1026.11012Komatsu, Takao 8 2003 Exact \(p\)-adic valuations of Stirling numbers of the first kind. Zbl 1426.11016Komatsu, Takao; Young, Paul Thomas 8 2017 Arithmetical properties of the leaping convergents of \(e^{1/s}\). Zbl 1075.11004Komatsu, Takao 8 2004 On the number of solutions of the Diophantine equation of Frobenius – general case. Zbl 1049.11028Komatsu, Takao 8 2003 Hurwitz and Tasoev continued fractions. Zbl 1095.11008Komatsu, Takao 7 2005 On Tasoev’s continued fractions. Zbl 1053.11006Komatsu, Takao 7 2003 \(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson’s integrals. Zbl 1371.11055Komatsu, Takao 7 2016 A generalization of poly-Cauchy numbers and their properties. Zbl 1295.11025Komatsu, Takao; Laohakosol, Vichian; Liptai, Kálmán 7 2013 The fractional part of \(n\theta + \phi\) and Beatty sequences. Zbl 0849.11027Komatsu, Takao 7 1995 An approximation property of quadratic irrationals. Zbl 1027.11047Komatsu, Takao 6 2002 Some combinatorial properties of the leaping convergents. Zbl 1178.11009Komatsu, Takao 6 2007 Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials. Zbl 1343.05024Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun 6 2014 More properties on multi-poly-Euler polynomials. Zbl 1364.11055Jolany, Hassan; Corcino, Roberto B.; Komatsu, Takao 6 2015 On the nearest integer of the sum of reciprocal Fibonacci numbers. Zbl 1287.11010Komatsu, Takao 6 2011 A certain power series associated with a Beatty sequence. Zbl 0858.11013Komatsu, Takao 6 1996 Cauchy-Carlitz numbers. Zbl 1400.11065Kaneko, Hajime; Komatsu, Takao 5 2016 Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041Komatsu, Takao; Simsek, Yilmaz 5 2016 Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the \(q\)-Hurwitz-Lerch zeta function. Zbl 1427.11022Komatsu, Takao; Ramírez, José L. 5 2017 On inhomogeneous continued fraction expansions and inhomogeneous diophantine approximation. Zbl 0878.11029Komatsu, Takao 5 1997 A certain power series and the inhomogeneous continued fraction expansions. Zbl 0872.11033Komatsu, Takao 5 1996 Convolution identities for Cauchy numbers. Zbl 1320.11020Komatsu, Takao 5 2014 Barnes’ multiple Bernoulli and poly-Bernoulli mixed-type polynomials. Zbl 1319.05012Dolgy, Dmitry V.; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun 4 2015 Barnes’ multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials. Zbl 1417.05008Kim, Dae San; Kim, Taekyun; Seo, Jong-Jin; Komatsu, Takao 4 2014 On generalized multi poly-Euler polynomials. Zbl 1401.11056Corcino, Roberto B.; Jolany, Hassan; Corcino, Cristina B.; Komatsu, Takao 4 2017 Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete \(r\)-Stirling numbers. Zbl 1422.11046Komatsu, Takao; Ramírez, José L. 4 2017 Balancing with binomial coefficients. Zbl 1372.11053Komatsu, Takao; Szalay, László 4 2014 On the characteristic word of the inhomogeneous Beatty sequence. Zbl 0829.11012Komatsu, Takao 4 1995 On a divisibility relation for Lucas sequences. Zbl 1402.11023Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon 4 2016 A recurrence formula for leaping convergents of non-regular continued fractions. Zbl 1132.05007Elsner, Carsten; Komatsu, Takao 4 2008 Some relationships between poly-Cauchy type numbers and poly-Bernoulli type numbers. Zbl 1271.05009Komatsu, T.; Liptai, Kálmán; Szalay, László 4 2012 Hurwitz continued fractions with confluent hypergeometric functions. Zbl 1163.11009Komatsu, Takao 4 2007 Higher-order Daehee of the second kind and poly-Cauchy of the second kind mixed-type polynomials. Zbl 1333.05021Kim, Taekyun; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun 4 2015 Several explicit formulae of Cauchy polynomials in terms of \(r\)-Stirling numbers. Zbl 1374.05018Komatsu, Takao; Mező, István 4 2016 Convolution identities for Tribonacci numbers with symmetric formulae. Zbl 1463.11041Komatsu, Takao; Li, Rusen 4 2019 Higher-order convolution identities for Cauchy numbers. Zbl 1347.05009Komatsu, Takao 4 2016 Sums of products of Cauchy numbers, including poly-Cauchy numbers. Zbl 1294.11027Komatsu, Takao 4 2013 Convolution identities for Tribonacci numbers. Zbl 1499.11067Komatsu, Takao 3 2018 Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1420.11046Komatsu, Takao; Ramírez, José L.; Sirvent, Víctor F. 3 2017 Several explicit formulae for Bernoulli polynomials. Zbl 1364.11056Komatsu, Takao; Pita Ruiz V., Claudio de J. 3 2016 Independence measures of arithmetic functions. Zbl 1226.11076Komatsu, Takao; Laohakosol, Vichian; Ruengsinsub, Pattira 3 2011 Leaping convergents of Hurwitz continued fractions. Zbl 1144.11007Komatsu, Takao 3 2008 Shrinking the period length of quasi-periodic continued fractions. Zbl 1219.11010Komatsu, Takao 3 2009 Several properties of multiple hypergeometric Euler numbers. Zbl 1436.11026Komatsu, Takao; Zhang, Wenpeng 3 2019 Reciprocal sums of sequences involving balancing and Lucas-balancing numbers. Zbl 1413.11036Panda, Gopal Krishna; Komatsu, Takao; Davala, Ravi Kumar 3 2018 Higher-order identities for Fibonacci numbers. Zbl 1396.11037Komatsu, Takao; Masáková, Zuzana; Pelantová, Edita 3 2014 New characterization of Appell polynomials. Zbl 1366.33010Bayad, Abdelmejid; Komatsu, Takao 3 2017 Higher order convolution identities for Cauchy numbers of the second kind. Zbl 1331.05019Komatsu, Takao 3 2015 Some identities of Cauchy numbers associated with continued fractions. Zbl 1446.11009Dey, Pallab Kanti; Komatsu, Takao 3 2019 Explicit expressions for the related numbers of higher order Appell polynomials. Zbl 1476.11039Hu, Su; Komatsu, Takao 3 2020 A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. Zbl 1446.11037Komatsu, T.; Ramírez, J. L.; Sirvent, V. F. 3 2020 Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius-Euler mixed-type polynomials. Zbl 1343.05023Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In 3 2014 Lehmer’s generalized Euler numbers in hypergeometric functions. Zbl 1418.11036Barman, Rupam; Komatsu, Takao 3 2019 \(q\)-multiparameter-Bernoulli polynomials and \(q\)-multiparameter-Cauchy polynomials by Jackson’s integrals. Zbl 1351.11018Komatsu, Takao; Szalay, László 3 2016 Recurrence relations of the leaping convergents. Zbl 1178.11008Komatsu, Takao 3 2003 Tasoev’s continued fractions and Rogers-Ramanujan continued fractions. Zbl 1082.11005Komatsu, Takao 3 2004 Generalized hypergeometric Bernoulli numbers. Zbl 1468.11071Chakraborty, Kalyan; Komatsu, Takao 3 2021 Weighted Sylvester sums on the Frobenius set. Zbl 1466.05004Komatsu, Takao; Zhang, Yuan 3 2021 Poly-Cauchy polynomials and generalized Bernoulli polynomials. Zbl 1340.05003Komatsu, Takao; Shibukawa, Genki 3 2014 Hypergeometric Euler numbers. Zbl 1484.11077Komatsu, Takao; Zhu, Huilin 3 2020 Some combinatorial properties of the leaping convergents. II. Zbl 1203.11010Komatsu, Takao 2 2010 Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers. Zbl 1428.11044Komatsu, Takao; Young, Paul Thomas 2 2018 A new formula for hyper-Fibonacci numbers, and the number of occurrences. Zbl 1424.11044Komatsu, Takao; Szalay, László 2 2018 Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers. Zbl 1399.11074Komatsu, Takao 2 2017 On the multiplicative order of \(F_{N+1}/f_{N}\) modulo \(F_{M}\). Zbl 1332.11019Komatsu, Takao; Luca, Florian; Tachiya, Yohei 2 2013 Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind. Zbl 1400.11067Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In; Lee, Sang-Hun 2 2016 Characterization of linear recurrences associated to rays in Pascal’s triangle. Zbl 1211.11020Belbachir, Hacène; Komatsu, Takao; Szalay, László 2 2010 Liouville numbers in the non-archimedean case. Zbl 1223.11085Chaichana, Tuangrat; Komatsu, Takao; Laohakosol, Vichian 2 2010 Upper bounds on cyclotomic numbers. Zbl 1261.11082Betsumiya, Koichi; Hirasaka, Mitsugu; Komatsu, Takao; Munemasa, Akihiro 2 2013 On the residue classes of integer sequences satisfying a linear three term recurrence formula. Zbl 1233.11006Elsner, Carsten; Komatsu, Takao 2 2008 Weighted Sylvester sums on the Frobenius set in more variables. Zbl 1492.11069Komatsu, Takao; Zhang, Yuan 2 2022 Leaping Cauchy numbers. Zbl 1499.11146Komatsu, Takao 2 2018 Shifted Cauchy numbers. Zbl 1444.11041Komatsu, Takao; Pita-Ruiz, Claudio 2 2020 A parametric type of Bernoulli polynomials with level 3. Zbl 1476.11046Komatsu, Takao 2 2020 Continued fraction expansions of the generating functions of Bernoulli and related numbers. Zbl 1461.11020Komatsu, Takao 2 2020 Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials. Zbl 1409.11015Komatsu, Takao; Luca, Florian 2 2017 Truncated Euler-Carlitz numbers. Zbl 1448.11205Komatsu, Takao; Laohakosol, Vichian; Tangsupphathawat, Pinthira 2 2019 Incomplete multi-poly-Bernoulli numbers and multiple zeta values. Zbl 1435.11045Komatsu, Takao 2 2018 Generalized poly-Cauchy polynomials and their interpolating functions. Zbl 1320.11016Komatsu, Takao; Luca, Florian; Pita Ruiz V., Claudio de J. 2 2014 \(q\)-poly-Cauchy numbers associated with Jackson integral. Zbl 1322.05026Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun; Seo, Jong-Jin 2 2015 Substitution invariant inhomogeneous Beatty sequences. Zbl 0940.11012Komatsu, Takao 2 1999 Simple continued fraction expansions of some values of certain hypergeometric functions. Zbl 1045.11006Komatsu, Takao 2 2003 Weighted Sylvester sums on the Frobenius set in more variables. Zbl 1492.11069Komatsu, Takao; Zhang, Yuan 2 2022 Stirling numbers with level 2 and poly-Bernoulli numbers with level 2. Zbl 1499.11138Komatsu, Takao 1 2022 Recurrence relations of poly-Cauchy numbers by the \(r\)-Stirling transform. Zbl 07465528Komatsu, Takao 1 2022 A parametric type of Cauchy polynomials. Zbl 07633776Komatsu, Takao 1 2022 Generalized hypergeometric Bernoulli numbers. Zbl 1468.11071Chakraborty, Kalyan; Komatsu, Takao 3 2021 Weighted Sylvester sums on the Frobenius set. Zbl 1466.05004Komatsu, Takao; Zhang, Yuan 3 2021 A combinatorial approach to the Stirling numbers of the first kind with higher level. Zbl 1499.11147Komatsu, Takao; Ramirez, José L.; Villamizar, Diego 2 2021 Infinite series containing generalized \(q\)-harmonic numbers. Zbl 1458.05032Komatsu, Takao; Li, Rusen 2 2021 Summation formulas of \(q\)-hyperharmonic numbers. Zbl 1488.05033Komatsu, Takao; Li, Rusen 1 2021 A combinatorial approach to the generalized central factorial numbers. Zbl 1486.11028Komatsu, Takao; Ramírez, José L.; Villamizar, Diego 1 2021 Explicit expressions for the related numbers of higher order Appell polynomials. Zbl 1476.11039Hu, Su; Komatsu, Takao 3 2020 A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. Zbl 1446.11037Komatsu, T.; Ramírez, J. L.; Sirvent, V. F. 3 2020 Hypergeometric Euler numbers. Zbl 1484.11077Komatsu, Takao; Zhu, Huilin 3 2020 Shifted Cauchy numbers. Zbl 1444.11041Komatsu, Takao; Pita-Ruiz, Claudio 2 2020 A parametric type of Bernoulli polynomials with level 3. Zbl 1476.11046Komatsu, Takao 2 2020 Continued fraction expansions of the generating functions of Bernoulli and related numbers. Zbl 1461.11020Komatsu, Takao 2 2020 A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups. Zbl 1474.20118Fel, Leonid G.; Komatsu, Takao; Suriajaya, Ade Irma 2 2020 Two types of hypergeometric degenerate Cauchy numbers. Zbl 1477.11046Komatsu, Takao 1 2020 Poly-Cauchy numbers with level 2. Zbl 1475.11033Komatsu, Takao; Pita-Ruiz, Claudio 1 2020 Fibonacci determinants with Cameron’s operator. Zbl 1473.11040Komatsu, Takao 1 2020 Convolutions of the bi-periodic Fibonacci numbers. Zbl 1488.11042Komatsu, Takao; Ramírez, José L. 1 2020 On several kinds of sums of balancing numbers. Zbl 07478530Komatsu, Takao; Panda, Gopal Krishna 1 2020 Hypergeometric degenerate Bernoulli polynomials and numbers. Zbl 1476.11047Komatsu, Takao 1 2020 On poly-Euler numbers of the second kind. Zbl 1454.11048Komatsu, Takao 1 2020 Remarks on hypergeometric Cauchy numbers. Zbl 07523844Aoki, Miho; Komatsu, Takao 1 2020 Convolution identities for Tribonacci numbers with symmetric formulae. Zbl 1463.11041Komatsu, Takao; Li, Rusen 4 2019 Several properties of multiple hypergeometric Euler numbers. Zbl 1436.11026Komatsu, Takao; Zhang, Wenpeng 3 2019 Some identities of Cauchy numbers associated with continued fractions. Zbl 1446.11009Dey, Pallab Kanti; Komatsu, Takao 3 2019 Lehmer’s generalized Euler numbers in hypergeometric functions. Zbl 1418.11036Barman, Rupam; Komatsu, Takao 3 2019 Truncated Euler-Carlitz numbers. Zbl 1448.11205Komatsu, Takao; Laohakosol, Vichian; Tangsupphathawat, Pinthira 2 2019 Complex Cantor series, Cantor products and their independence. Zbl 07133448Komatsu, Takao; Laohakosol, Vichian; Rattanamoong, Jittinart 1 2019 Convolution identities for Tribonacci-type numbers with arbitrary initial values. Zbl 1439.11049Komatsu, Takao 1 2019 Several properties of hypergeometric Bernoulli numbers. Zbl 1498.11071Aoki, Miho; Komatsu, Takao; Panda, Gopal Krishna 1 2019 Some determinants involving incomplete Fubini numbers. Zbl 1438.11062Komatsu, Takao; Ramírez, José L. 16 2018 Convolution identities for Tribonacci numbers. Zbl 1499.11067Komatsu, Takao 3 2018 Reciprocal sums of sequences involving balancing and Lucas-balancing numbers. Zbl 1413.11036Panda, Gopal Krishna; Komatsu, Takao; Davala, Ravi Kumar 3 2018 Generalized Stirling numbers with poly-Bernoulli and poly-Cauchy numbers. Zbl 1428.11044Komatsu, Takao; Young, Paul Thomas 2 2018 A new formula for hyper-Fibonacci numbers, and the number of occurrences. Zbl 1424.11044Komatsu, Takao; Szalay, László 2 2018 Leaping Cauchy numbers. Zbl 1499.11146Komatsu, Takao 2 2018 Incomplete multi-poly-Bernoulli numbers and multiple zeta values. Zbl 1435.11045Komatsu, Takao 2 2018 Truncated Euler polynomials. Zbl 1441.11037Komatsu, Takao; Pita-Ruiz, Claudio 1 2018 Tilings of hyperbolic \((2 \times n)\)-board with colored squares and dominoes. Zbl 1411.05054Komatsu, Takao; Németh, László; Szalay, László 1 2018 Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers. Zbl 1452.11137Komatsu, Takao 1 2018 Zeta functions interpolating the convolution of the Bernoulli polynomials. Zbl 1440.11024Bayad, Abdelmejid; Komatsu, Takao 1 2018 Some formulas for Bell numbers. Zbl 1499.11139Komatsu, Takao; Pita-Ruiz, Claudio 1 2018 Complementary Euler numbers. Zbl 1413.11126Komatsu, Takao 13 2017 Hypergeometric Cauchy numbers and polynomials. Zbl 1399.11068Komatsu, Takao; Yuan, Pingzhi 11 2017 Exact \(p\)-adic valuations of Stirling numbers of the first kind. Zbl 1426.11016Komatsu, Takao; Young, Paul Thomas 8 2017 Incomplete poly-Bernoulli numbers and incomplete poly-Cauchy numbers associated to the \(q\)-Hurwitz-Lerch zeta function. Zbl 1427.11022Komatsu, Takao; Ramírez, José L. 5 2017 On generalized multi poly-Euler polynomials. Zbl 1401.11056Corcino, Roberto B.; Jolany, Hassan; Corcino, Cristina B.; Komatsu, Takao 4 2017 Generalized poly-Cauchy and poly-Bernoulli numbers by using incomplete \(r\)-Stirling numbers. Zbl 1422.11046Komatsu, Takao; Ramírez, José L. 4 2017 Multi-poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1420.11046Komatsu, Takao; Ramírez, José L.; Sirvent, Víctor F. 3 2017 New characterization of Appell polynomials. Zbl 1366.33010Bayad, Abdelmejid; Komatsu, Takao 3 2017 Generalized incomplete poly-{B}ernoulli and poly-{C}auchy numbers. Zbl 1399.11074Komatsu, Takao 2 2017 Generalized incomplete poly-Bernoulli polynomials and generalized incomplete poly-Cauchy polynomials. Zbl 1409.11015Komatsu, Takao; Luca, Florian 2 2017 The log-convexity of the poly-Cauchy numbers. Zbl 1423.05025Komatsu, Takao; Zhao, Feng-Zhen 1 2017 Incomplete poly-Cauchy numbers. Zbl 1352.11029Komatsu, Takao 16 2016 Incomplete Cauchy numbers. Zbl 1389.11059Komatsu, T.; Mező, I.; Szalay, L. 16 2016 Incomplete poly-Bernoulli numbers associated with incomplete Stirling numbers. Zbl 1389.11054Komatsu, Takao; Liptai, Kálmán; Mező, István 14 2016 \(q\)-poly-Bernoulli numbers and \(q\)-poly-Cauchy numbers with a parameter by Jackson’s integrals. Zbl 1371.11055Komatsu, Takao 7 2016 Cauchy-Carlitz numbers. Zbl 1400.11065Kaneko, Hajime; Komatsu, Takao 5 2016 Third and higher order convolution identities for Cauchy numbers. Zbl 1446.11041Komatsu, Takao; Simsek, Yilmaz 5 2016 On a divisibility relation for Lucas sequences. Zbl 1402.11023Bilu, Yuri F.; Komatsu, Takao; Luca, Florian; Pizarro-Madariaga, Amalia; Stănică, Pantelimon 4 2016 Several explicit formulae of Cauchy polynomials in terms of \(r\)-Stirling numbers. Zbl 1374.05018Komatsu, Takao; Mező, István 4 2016 Higher-order convolution identities for Cauchy numbers. Zbl 1347.05009Komatsu, Takao 4 2016 Several explicit formulae for Bernoulli polynomials. Zbl 1364.11056Komatsu, Takao; Pita Ruiz V., Claudio de J. 3 2016 \(q\)-multiparameter-Bernoulli polynomials and \(q\)-multiparameter-Cauchy polynomials by Jackson’s integrals. Zbl 1351.11018Komatsu, Takao; Szalay, László 3 2016 Barnes-type Peters polynomials associated with poly-Cauchy polynomials of the second kind. Zbl 1400.11067Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In; Lee, Sang-Hun 2 2016 Some identities for sequences of binomial sums of generalized Fibonacci numbers. Zbl 1400.11038Cook, Charles K.; Komatsu, Takao 1 2016 Poly-Bernoulli numbers and polynomials with a \(q\) parameter. Zbl 1393.11019Cenkci, Mehmet; Komatsu, Takao 21 2015 Barnes-type degenerate Bernoulli polynomials. Zbl 1318.11031Kim, Dae San; Kim, Taekyun; Dolgy, Dmitry V.; Komatsu, Takao 11 2015 More properties on multi-poly-Euler polynomials. Zbl 1364.11055Jolany, Hassan; Corcino, Roberto B.; Komatsu, Takao 6 2015 Barnes’ multiple Bernoulli and poly-Bernoulli mixed-type polynomials. Zbl 1319.05012Dolgy, 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 1333.05021Kim, Taekyun; Kim, Dae San; Komatsu, Takao; Lee, Sang-Hun 4 2015 Higher order convolution identities for Cauchy numbers of the second kind. Zbl 1331.05019Komatsu, Takao 3 2015 \(q\)-poly-Cauchy numbers associated with Jackson integral. Zbl 1322.05026Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun; Seo, Jong-Jin 2 2015 Convolution identities for Cauchy numbers of the second kind. Zbl 1345.11018Komatsu, Takao 1 2015 An umbral calculus approach to poly-Cauchy polynomials with a \(q\) parameter. Zbl 1318.05007Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Seo, Jong-Jin 1 2015 Linear recurrences associated to rays in Pascal’s triangle and combinatorial identities. Zbl 1349.11037Belbachir, Hacène; Komatsu, Takao; Szalay, László 15 2014 Shifted poly-Cauchy numbers. Zbl 1320.11018Komatsu, Takao; Szalay, László 10 2014 Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials. Zbl 1343.05024Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Lee, Sang-Hun 6 2014 Convolution identities for Cauchy numbers. Zbl 1320.11020Komatsu, Takao 5 2014 Barnes’ multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials. Zbl 1417.05008Kim, Dae San; Kim, Taekyun; Seo, Jong-Jin; Komatsu, Takao 4 2014 Balancing with binomial coefficients. Zbl 1372.11053Komatsu, Takao; Szalay, László 4 2014 Higher-order identities for Fibonacci numbers. Zbl 1396.11037Komatsu, Takao; Masáková, Zuzana; Pelantová, Edita 3 2014 Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius-Euler mixed-type polynomials. Zbl 1343.05023Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In 3 2014 Poly-Cauchy polynomials and generalized Bernoulli polynomials. Zbl 1340.05003Komatsu, Takao; Shibukawa, Genki 3 2014 Generalized poly-Cauchy polynomials and their interpolating functions. Zbl 1320.11016Komatsu, Takao; Luca, Florian; Pita Ruiz V., Claudio de J. 2 2014 Barnes-type Daehee polynomials. Zbl 1417.05007Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Seo, Jong-Jin 1 2014 A note on the denominators of Bernoulli numbers. Zbl 1301.11023Komatsu, Takao; Luca, Florian; Pita Ruiz V., Claudio de J. 1 2014 Some generalized Fibonacci identities including powers and binomial coefficients. Zbl 1293.11024Komatsu, Takao 1 2014 Poly-Cauchy numbers. Zbl 1295.11024Komatsu, Takao 34 2013 Poly-Cauchy numbers with a \(q\) parameter. Zbl 1270.05010Komatsu, Takao 20 2013 Hypergeometric Cauchy numbers. Zbl 1301.11030Komatsu, Takao 19 2013 Some relationships between poly-Cauchy numbers and poly-Bernoulli numbers. Zbl 1289.11021Komatsu, Takao; Luca, Florian 12 2013 Poly-Cauchy polynomials. Zbl 1307.05013Kamano, Ken; Komatsu, Takao 9 2013 A generalization of poly-Cauchy numbers and their properties. Zbl 1295.11025Komatsu, Takao; Laohakosol, Vichian; Liptai, Kálmán 7 2013 Sums of products of Cauchy numbers, including poly-Cauchy numbers. Zbl 1294.11027Komatsu, Takao 4 2013 On the multiplicative order of \(F_{N+1}/f_{N}\) modulo \(F_{M}\). Zbl 1332.11019Komatsu, Takao; Luca, Florian; Tachiya, Yohei 2 2013 Upper bounds on cyclotomic numbers. Zbl 1261.11082Betsumiya, Koichi; Hirasaka, Mitsugu; Komatsu, Takao; Munemasa, Akihiro 2 2013 ...and 53 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 303 Authors 63 Komatsu, Takao 23 Kim, Taekyun 20 Kim, Dae San 14 Ramírez, José Luis 12 Belbachir, Hacene 6 Laohakosol, Vichian 6 Mansour, Toufik 6 Mező, István 6 Simsek, Yilmaz 5 Dolgiĭ, Dmitriĭ Viktorovich 5 Khan, Waseem Ahmad 5 Luca, Florian 5 Szalay, László 4 Adell, José Antonio 4 Choo, Younseok 4 Elsner, Carsten 4 Jung, Nam Soon 4 Lim, Dongkyu 4 Pelantová, Edita 4 Pita-Ruiz, Claudio 4 Ray, Prasanta Kumar 4 Villamizar, Diego 3 Adelberg, Arnold M. 3 Amrouche, Said 3 Göral, Haydar 3 Lekuona, Alberto 3 Li, Rusen 3 Lin, Xin 3 Masáková, Zuzana 3 Matala-aho, Tapani 3 Mehdaoui, Abdelghani 3 Moll, Victor Hugo 3 Németh, László 3 Qiu, Min 3 Sertbaş, Doğa Can 3 Wang, Andrew Y. Z. 3 Young, Paul Thomas 2 Ahmia, Moussa 2 Ambrož, Petr 2 Anatriello, Giuseppina 2 Araci, Serkan 2 Aşan, Abdulkadir 2 Banks, William David 2 Bényi, Beáta 2 Berthé, Valérie 2 Bilu, Yuri F. 2 Caicedo, Jhon Bladimir 2 Cenkci, Mehmet 2 Chekhova, Nataliya 2 Do, Younghae 2 Dutta, Utkal Keshari 2 Ferenczi, Sébastien 2 Glen, Amy 2 Hančl, Jaroslav 2 Hare, Kevin G. 2 Haroon, Hiba 2 He, Yuan 2 Hong, Shaofang 2 Hu, Su 2 Kargin, Levent 2 Kim, Byungmoon 2 Komornik, Vilmos 2 Kraaikamp, Cor 2 Kurt, Burak 2 Menken, Hamza 2 Muhyi, Abdulghani 2 Parvaix, Bruno 2 Pizarro-Madariaga, Amalia 2 Rim, Seog-Hoon 2 Ryoo, Cheon Seoung 2 Shattuck, Mark A. 2 Shparlinski, Igor E. 2 Sirvent, Víctor F. 2 Vincenzi, Giovanni 2 Wakhare, Tanay V. 2 Wu, Zhengang 2 Yardimci, Ahmet 2 Yuan, Pingzhi 2 Zhang, Fan 2 Zhang, Han 2 Zhang, Wenpeng 1 Abdel-Aty, Mahmoud 1 Abdelghafour, Bazeniar 1 Adamczewski, Boris 1 Adegoke, Kunle 1 Adiceam, Faustin 1 Agarwal, Praveen 1 Ahmed, Mohammad Helal Uddin 1 Ait-Amrane, Lyes 1 Akiyama, Shigeki 1 Ali, Rifaqat 1 Alkan, Emre 1 Alves, Francisco Régis Vieira 1 Alzobydi, Khaled Ahmad Hassan 1 Amdeberhan, Tewodros 1 Anselm, Maxwell 1 Aoki, Miho 1 Araújo, Isabel M. 1 Arıkan, Talha 1 Barbero, Stefano ...and 203 more Authors all top 5 Cited in 115 Serials 17 Journal of Number Theory 17 Advances in Difference Equations 13 Journal of Inequalities and Applications 10 Journal de Théorie des Nombres de Bordeaux 10 International Journal of Number Theory 9 AIMS Mathematics 7 Integers 6 Applied Mathematics and Computation 6 Quaestiones Mathematicae 6 Acta Mathematica Hungarica 6 The Ramanujan Journal 6 Journal of Integer Sequences 6 Journal of Applied Mathematics & Informatics 5 Lithuanian Mathematical Journal 5 Filomat 5 Mediterranean Journal of Mathematics 4 Turkish Journal of Mathematics 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 Mathematica Slovaca 3 Monatshefte für Mathematik 3 Tokyo Journal of Mathematics 3 Aequationes Mathematicae 3 Integral Transforms and Special Functions 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Palestine Journal of Mathematics 2 Journal of Combinatorial Theory. Series A 2 Theoretical Computer Science 2 European Journal of Combinatorics 2 Bulletin of the Korean Mathematical Society 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 The Electronic Journal of Combinatorics 2 Journal of Difference Equations and Applications 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Mathematical Communications 2 Abstract and Applied Analysis 2 Honam Mathematical Journal 2 Annals of Combinatorics 2 RAIRO. Theoretical Informatics and Applications 2 Far East Journal of Mathematical Sciences 2 Hacettepe Journal of Mathematics and Statistics 2 Kyoto Journal of Mathematics 2 Symmetry 2 Open Mathematics 2 Research in Number Theory 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 International Journal of Mathematical Education in Science and Technology 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Linear and Multilinear Algebra 1 The Mathematical Gazette 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 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 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 Iranian Mathematical Society 1 Graphs and Combinatorics 1 Facta Universitatis. Series Mathematics and Informatics 1 The Australasian Journal of Combinatorics 1 Russian Journal of Mathematical Physics 1 Kyushu Journal of Mathematics 1 Algebras and Representation Theory 1 Mathematica Moravica 1 Journal of Discrete Mathematical Sciences & Cryptography 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 Online Journal of Analytic Combinatorics 1 Journal of Modern Dynamics 1 Journal of Mathematical Inequalities 1 Applicable Analysis and Discrete Mathematics 1 European Journal of Pure and Applied Mathematics 1 Asian-European Journal of Mathematics 1 Tbilisi Mathematical Journal ...and 15 more Serials all top 5 Cited in 28 Fields 271 Number theory (11-XX) 98 Combinatorics (05-XX) 34 Special functions (33-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 13 Computer science (68-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Field theory and polynomials (12-XX) 5 Difference and functional equations (39-XX) 5 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Sequences, series, summability (40-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Convex and discrete geometry (52-XX) 3 Numerical analysis (65-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Ordinary differential equations (34-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year