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FINITE SUMS INVOLVING TRIGONOMETRIC FUNCTIONS AND SPECIAL POLYNOMIALS: ANALYSIS OF GENERATING FUNCTIONS AND p-ADIC INTEGRALS
Kilar, Neslihan ; Bayad, Abdelmejid ; Simsek, Yilmaz ; et al.
Applicable Analysis and Discrete Mathematics, In press, ⟨10.2298/AADMxxxxxxxx⟩

2020 Mathematics Subject... 2020 Mathematics Subject... Secondary: 11B68 11B73 11S80. Keywords and Phra... Stirling numbers
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2

Bernoulli numbers with level 2
Komatsu, Takao
Aequationes mathematicae. 99:71-87

generating function Other combinatorial numb... Exact enumeration proble... Bell and Stirling number... Recurrences Bernoulli and Euler numb...
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3

Continued fractions using a Laguerre digraph interpretation of the Foata-Zeilberger bijection and its variants
Deb, Bishal
Combinatorial Theory, vol 5, iss 1

Permutations, words, mat... Motzkin path permutations S-fraction J-fraction almost-Dyck path
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4

Stirling-Ramanujan constants are exponential periods: Stirling-Ramanujan constants are exponential periods
Muñoz, Vicente ; Pérez-Marco, Ricardo ; Pérez-Marco, Ricardo
Communications in Number Theory and Physics. 18:485-507

Stirling Transcendental constants Transcendence (general t... FOS: Physical sciences Special methods of summa... Classical Analysis and O...
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5

Efficient methods of calculating the number of heapable permutations
Benjamin Chen ; Michael Cho ; Mario Tutuncu-Macias ; et al.
Discrete Applied Mathematics. 331:126-137

Permutations, words, mat... heapable permutations Analysis of algorithms a... binary heaps 0102 computer and inform... 0101 mathematics
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6

A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials: A study of harmonic Fibonacci polynomials associated with Bernoulli-\(F\) and Euler-Fibonacci polynomials
TUĞLU, NAİM ; Kızılateş, Can ; Kuş, Semra
Indian Journal of Pure and Applied Mathematics. 55:1129-1141

0101 mathematics umbral calculus and umbr... special polynomial and n... 01 natural sciences Fibonacci and Lucas numb... Umbral calculus
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7

Several formulas for Bernoulli numbers and polynomials
Bijan Kumar Patel ; Takao Komatsu ; Claudio Pita-Ruiz
Advances in Mathematics of Communications. 17:522-535

generalized Stirling num... Bernoulli polynomials Bell and Stirling number... 0101 mathematics Bernoulli and Euler numb... 01 natural sciences
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8

On s-Stirling transform and poly-Cauchy numbers of the second kind with level 2: On \(s\)-Stirling transform and poly-Cauchy numbers of the second kind with level 2
Komatsu, Takao
Aequationes mathematicae. 97:31-61

poly-Cauchy numbers of t... Other combinatorial numb... Exact enumeration proble... Bell and Stirling number... Stirling transform Recurrences
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9

Two classical formulas for the sum of powers of consecutive integers via complex analysis
Barman, Kalyan ; Chakraborty, Bikash ; Mortini, Raymond
Complex Analysis and its Synergies. 10

contour integration Nicomachus identity Bell and Stirling number... Bernoulli and Euler numb... Integration, integrals o... Eulerian numbers
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10

Several Continued Fraction Expansions of Generalized Cauchy Numbers: Several continued fraction expansions of generalized Cauchy numbers
Takao Komatsu
Bulletin of the Malaysian Mathematical Sciences Society. 44:2425-2446

hypergeometric Cauchy nu... Continued fractions leaping Cauchy numbers continued fractions 0102 computer and inform... Cauchy numbers
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11

The restricted partition and q-partial fractions: The restricted partition and \(q\)-partial fractions
N. Uday Kiran
Research in Number Theory. 9

Mathematics - Number The... degenerate numbers Exact enumeration proble... Elementary theory of par... Sylvester waves Ramanujan sum
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12

On a combinatorial identity
Gyires, B.
Publicationes Mathematicae Debrecen. 31:217-219

asymptotic formula for B... calculation of Bernoulli... recursive formulas 0101 mathematics Bernoulli and Euler numb... 01 natural sciences
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13

A Matrix Approach to Solving Hyperbolic Partial Differential Equations Using Bernoulli Polynomials
Bicer, Kubra Erdem ; Yalcinbas, Salih
Filomat, 2016 Jan 01. 30(4), 993-1000.

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14

One Problem of Extremal Functional Interpolation and the Favard Constants: One problem of extremal functional interpolation and the Favard constants
Yu. S. Volkov
Doklady Mathematics. 102:474-477

Favard constants Euler polynomials recurrence formulas 0101 mathematics Bernoulli and Euler numb... Euler numbers
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15

Several expressions of truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers
Takao Komatsu ; Wenpeng Zhang
AIMS Mathematics, Vol 5, Iss 6, Pp 5939-5954 (2020)

recurrence relations Exact enumeration proble... Determinants, permanents... hypergeometric bernoulli... Cauchy-Carlitz numbers 01 natural sciences
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16

Hypergeometric Euler numbers
Takao Komatsu ; Huilin Zhu
AIMS Mathematics, Vol 5, Iss 2, Pp 1284-1303 (2020)

11B68, 11B37, 11C20, 15A... Generalized hypergeometr... Mathematics - Number The... determinants Matrices, determinants i... 01 natural sciences
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17

On a family of Euler-type numbers and polynomials
Claudio Pita-Ruiz
Rendiconti di Matematica e delle Sue Applicazioni, Vol 44, Iss 1-2, Pp 1-26 (2023)

Euler number Euler polynomial euler polynomial QA1-939 Bell and Stirling number... euler number
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18

$p$-numerical semigroups of Pell triples: \(p\)-Numerical semigroups of Pell triples
Komatsu, Takao ; Mu, Jiaxin

Combinatorial aspects of... Mathematics - Number The... Commutative semigroups The Frobenius problem FOS: Mathematics Linear Diophantine equat...
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19

A formula on Stirling numbers of the second kind and its application to the unstable K-theory of stunted complex projective spaces: A formula on Stirling numbers of the second kind and its application to the unstable \(K\)-theory of stunted complex projective spaces
Nishimura, Osamu
Kyoto Journal of Mathematics. 62

Mathematics - Number The... 05A10, 05A19, 11B68, 11B... Bell and Stirling number... 01 natural sciences Stirling numbers of the... Riemann-Roch theorems, C...
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20

q-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials: \(q\)-Analogs of Lidstone expansion theorem, two-point Taylor expansion theorem, and Bernoulli polynomials
Zeinab S. Mansour ; Mourad E. H. Ismail
Analysis and Applications. 17:853-895

\(q\)-analog of Bernoull... Difference equations, sc... basic hypergeometric ser... 01 natural sciences Power series (including... two-point \(q\)-Taylor s...
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