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Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Outcome of the “Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory”, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 431-443 (2020).

MSC: 05C05 52B05 11B68

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Kang, Jung Yoog

Some properties and distribution of the zeros of the \(q\)-sigmoid polynomials. (English) Zbl 1459.11061

Discrete Dyn. Nat. Soc. 2020, Article ID 4169840, 10 p. (2020).

MSC: 11B68 11B65

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Lin, Xianzu

\(p\)-adic \(L\)-functions and classical congruences. (English) Zbl 1453.11001

Acta Arith. 194, No. 1, 29-49 (2020).

Reviewer: Mouad Moutaoukil (Fès)

MSC: 11A07 11B68 11B65 11S40

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Wang, Chen

Two congruences concerning Apéry numbers conjectured by Z.-W. Sun. (English) Zbl 1461.11039

Electron Res. Arch. 28, No. 2, 1063-1075 (2020).

MSC: 11B65 11B68 05A10 11A07

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Agrawal, Aman; Choi, Caroline; Sun, Nathan

On permutation weights and \(q\)-Eulerian polynomials. (English) Zbl 1442.05001

Ann. Comb. 24, No. 2, 363-378 (2020).

Reviewer: Ioan Tomescu (Bucureşti)

MSC: 05A05 05A30 05C30 11B68

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Cao, Hui-Qin; Matiyasevich, Yuri; Sun, Zhi-Wei

Congruences for Apéry numbers \(\beta_n = \sum_{k = 0}^n \binom{n}{k}^2 \binom{n + k}{k}\). (English) Zbl 1471.11089

Int. J. Number Theory 16, No. 5, 981-1003 (2020).

MSC: 11B65 11A07 11B68 11B75

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Dai, Lei; Pan, Hao

Closed forms for degenerate Bernoulli polynomials. (English) Zbl 1476.11037

Bull. Aust. Math. Soc. 101, No. 2, 207-217 (2020).

MSC: 11B68 05A10 11B65 11B73

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Srivastava, Hari Mohan; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet; Riyasat, Mumtaz

A general class of the three-variable unified Apostol-type \(q\)-polynomials and multiple power \(q\)-sums. (English) Zbl 1432.11026

Bull. Iran. Math. Soc. 46, No. 2, 519-542 (2020).

MSC: 11B73 11B83 11B68

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Guo, Victor J. W.

Proof of a generalization of the (B.2) supercongruence of Van Hamme through a \(q\)-microscope. (English) Zbl 1468.11005

Adv. Appl. Math. 116, Article ID 102016, 19 p. (2020).

MSC: 11A07 11B68 33D15

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Zhu, Bao-Xuan

A generalized Eulerian triangle from staircase tableaux and tree-like tableaux. (English) Zbl 1433.05318

J. Comb. Theory, Ser. A 172, Article ID 105206, 32 p. (2020).

MSC: 05E05 05A15 05B30 11B68 11A55

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Jang, Lee-Chae; Kim, Wonjoo; Kwon, Hyuck-In; Kim, Taekyun

On degenerate Daehee polynomials and numbers of the third kind. (English) Zbl 1429.11040

J. Comput. Appl. Math. 364, Article ID 112343, 9 p. (2020).

MSC: 11B68 11B73 11S80

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Shareshian, John; Wachs, Michelle L.

Gamma-positivity of variations of Eulerian polynomials. (English) Zbl 1435.11048

J. Comb. 11, No. 1, 1-33 (2020).

MSC: 11B68 05E05 11B65 52B20

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Mező, István

Combinatorics and number theory of counting sequences. (English) Zbl 1445.05001

Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-138-56485-5/hbk; 978-1-315-12265-6/ebook). xvii, 479 p. (2020).

Reviewer: Seema Thakran (Gurgaon)

MSC: 05-01 11-01 05A15 05A16 05A17 05A18 05A19 05A20 05A05 05A10 11B65 11B68 11B73 11B83

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Kim, Dae San; Kim, Taekyun; Kim, Han Young; Kwon, Jongkyum

A note on type \(2 q\)-Bernoulli and type \(2 q\)-Euler polynomials. (English) Zbl 07459209

J. Inequal. Appl. 2019, Paper No. 181, 10 p. (2019).

MSC: 11B68 11S80 05A30

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Wang, Chen

Two divisibility results conjectured by Z.-W. Sun. (English) Zbl 1479.11016

J. Comb. Number Theory 11, No. 3, 139-146 (2019).

MSC: 11A07 05A10 11B65 11B68

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Gao, Qin

Proof of some conjectures of Sun on congruences. (English) Zbl 1479.11008

J. Comb. Number Theory 11, No. 1, 19-28 (2019).

MSC: 11A07 05A10 11B65 11B68

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Khan, Waseem A.; Haroon, Hiba; Khan, Idrees A.

On \(p\)-adic integrals for degenerate Hermite-Euler numbers and polynomials. (English) Zbl 07417559

An. Univ. Oradea, Fasc. Mat. 26, No. 2, 117-126 (2019).

MSC: 11S80 11B68 05A30 11B75

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Belbachir, Hacène; Souddi, Nassira; Tigane, Meriem

Combinatorial properties of the \(r\)-Whitney numbers of Dowling lattices. (English) Zbl 07397948

Ars Comb. 147, 51-61 (2019).

MSC: 05A19 11B65 05A10

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Khan, Waseem A.; Khan, Idrees A.; Ali, Musharraf

A note on \(q\)-analogue of Hermite-poly-Bernoulli numbers and polynomials. (English) Zbl 1465.11072

Math. Morav. 23, No. 2, 1-16 (2019).

MSC: 11B68 11B73 33C45

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Khan, Waseem A.; Srivastava, Divesh

A study of poly-Bernoulli polynomials associated with Hermite polynomials with \(q\)-parameter. (English) Zbl 1460.11027

Honam Math. J. 41, No. 4, 781-798 (2019).

Reviewer: Uğur Duran (Iskenderun)

MSC: 11B68 11B73 11B75 33C10 33C45

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Sun, Zhiwei

Open conjectures on congruences. (English) Zbl 1449.11001

J. Nanjing Univ., Nat. Sci. 36, No. 1, 1-99 (2019).

MSC: 11-02 11A07 11A41 05A10 11B65 11B68

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Koparal, Sibel; Ömür, Neşe

On congruences involving special numbers. (English) Zbl 1458.11003

J. Ramanujan Math. Soc. 34, No. 2, 151-167 (2019).

MSC: 11A07 11B39 11B65 11B68

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Urieles, Alejandro; Ortega, María José; Ramírez, William; Vega, Samuel

New results on the \(q\)-generalized Bernoulli polynomials of level \(m\). (English) Zbl 1436.33018

Demonstr. Math. 52, 511-522 (2019).

Reviewer: Thomas Ernst (Uppsala)

MSC: 33E12

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Bagno, Eli; Riccardo, Biagioli; David, Garber

Some identities involving second kind Stirling numbers of types \(B\) and \(D\). (English) Zbl 1439.05031

Sémin. Lothar. Comb. 82B, 82B.38, 12 p. (2019).

Reviewer: Khristo N. Boyadzhiev (Ada)

MSC: 05A19 11B65 11B68 11B73

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Sadjang, P. Njionou; Duran, Ugur

On two bivariate kinds of \((p,q)\)-Bernoulli polynomials. (English) Zbl 1449.33016

Miskolc Math. Notes 20, No. 2, 1185-1199 (2019).

MSC: 33D15 33D45 11B68

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Kim, Won Joo; Jang, Lee-Chae; Kim, Byung Moon

On symmetric identities of Carlitz’s type \(q\)-Daehee polynomials. (English) Zbl 1453.11036

Discrete Dyn. Nat. Soc. 2019, Article ID 1890489, 5 p. (2019).

MSC: 11B68 11S80 05A19 05A30

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Küçükoğlu, İrem; Şimşek, Burçin; Şimşek, Yılmaz

An approach to negative hypergeometric distribution by generating function for special numbers and polynomials. (English) Zbl 1439.05011

Turk. J. Math. 43, No. 5, 2337-2353 (2019).

Reviewer: Mircea Merca (Cornu)

MSC: 05A10 05A15 11B37 11B65 11B68 11B83 26C05 60C05

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Simsek, Yilmaz

Peters type polynomials and numbers and their generating functions: approach with \(p\)-adic integral method. (English) Zbl 1453.11033

Math. Methods Appl. Sci. 42, No. 18, 7030-7046 (2019).

MSC: 11B65 11S80 11B68 11B73 05A10 05A15

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Svinin, A. K.; Svinina, S. V.

On some generalizations of sum of powers of natural numbers. (English. Russian original) Zbl 1473.11045

Russ. Math. 63, No. 8, 25-37 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 8, 31-44 (2019).

MSC: 11B57 05A15 11B65 11B68

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Choi, Sangki; Kim, Byung-Moon; Kwon, Jongkyum

The deformed degenerate \(q\)-Euler polynomials and numbers. (English) Zbl 07144828

Ars Comb. 143, 309-319 (2019).

MSC: 11B68 11S40 11S80

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Found 904 Documents (Results 1–100)

Shifted sums of the Bernoulli numbers, reciprocity, and denominators. (English) Zbl 07527615

Generalized \(q\)-Bernoulli polynomials generated by Jackson \(q\)-Bessel functions. (English) Zbl 07524271

On \(\lambda \)-Changhee-Hermite polynomials. (English) Zbl 07523596

Proof of some conjectural congruences modulo \(p^3\). (English) Zbl 07513893

On \(q\)-poly-Bernoulli numbers arising from combinatorial interpretations. (English) Zbl 07508342

Recurrence relations of poly-Cauchy numbers by the \(r\)-Stirling transform. (English) Zbl 07465528

Harmonic-binomial Euler-like sums via expansions of \((\arcsin x)^p\). (English) Zbl 1478.05008

On \(q\)-hypergeometric Bernoulli polynomials and numbers. (English) Zbl 07512842

Lucas-Euler relations using balancing and Lucas-balancing polynomials. (English) Zbl 07489041

Summation formulae involving multiple harmonic numbers. (English) Zbl 07472247

Explicit properties of \(q\)-sigmoid polynomials combining \(q\)-cosine function. (English) Zbl 07452341

Multiplication formula and \((w, q)\)-alternating power sums of twisted \(q\)-Euler polynomials of the second kind. (English) Zbl 07452335

A research on the special functions by using \(q\)-trigonometric functions. (English) Zbl 07452306

Studies on properties and characteristics of two new types of \(q\)-Genocchi polynomials. (English) Zbl 07452304

On the \((p, q)\)-poly-Korobov polynomials and related polynomials. (English) Zbl 07452303

Some properties of degenerate Carlitz-type twisted \(q\)-Euler numbers and polynomials. (English) Zbl 07452300

Miscellaneous formulae for the certain class of combinatorial sums and special numbers. (English) Zbl 1476.11035

\( \mathrm{q} \)-Tricomi functions and quantum algebra representations. (English) Zbl 07405843

Analysis of Apostol-type numbers and polynomials with their approximations and asymptotic behavior. (English) Zbl 1476.11061

On a bivariate kind of \(q\)-Euler and \(q\)-Genocchi polynomials. (English. Ukrainian original) Zbl 1478.05011

On some classes of \(q\)-difference equations for the \(q\)-generalized tangent-Appell polynomials. (English) Zbl 1469.05019

Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials. (English) Zbl 1480.11027

A combinatorial approach to the generalized central factorial numbers. (English) Zbl 07388045

On a \(q\)-Laplace-type integral operator and certain class of series expansion. (English) Zbl 07387601

On a family of \((p,q)\)-hybrid polynomials. (English) Zbl 07386857

Generalized alternating hyperharmonic number sums with reciprocal binomial coefficients. (English) Zbl 07385151

Some relationships between the \(q\)-cosine tangent polynomials and \(q\)-cosine other polynomials. (English) Zbl 1471.11099

On \((p,q)\)-poly-tangent numbers and polynomials. (English) Zbl 1471.11098

Apostol type \((p,q)\)-Frobenius-Eulerian polynomials and numbers. (English) Zbl 1476.11041

Proof of a supercongruence via the Wilf-Zeilberger method. (English) Zbl 1472.11023

Unified Apostol-Korobov type polynomials and related polynomials. (English) Zbl 1476.11050

A note on the geometry of figurate numbers. (English) Zbl 1465.11075

Geometric polynomials and integer partitions. (Fubini polynomials and integer partitions.) (English) Zbl 07339690

Brändén’s \((p,q)\)-Eulerian polynomials, André permutations and continued fractions. (English) Zbl 1476.11056

A proof of the Riemann hypothesis: another look. (English) Zbl 1459.11169

The Laurent coefficients of the Hilbert series of a Gorenstein algebra. (English) Zbl 1466.13017

Congruences for certain lacunary sums of products of binomial coefficients. (English) Zbl 1454.11045

A note on \((p, q)\)-analogue type of Fubini numbers and polynomials. (English) Zbl 07515754

On basic Horn hypergeometric functions \(\mathrm{H}_3\) and \(\mathrm{H}_4\). (English) Zbl 07507625

A note on degenerate poly-Genocchi numbers and polynomials. (English) Zbl 07489606

A note on \(q\)-analogue of poly-Euler polynomials and Arakawa-Kaneko type zeta function. (English) Zbl 07468939

Identities involving the degenerate generalized \((p,q)\)-poly-Bernoulli numbers and polynomials. (English) Zbl 07468938

Some identities of type \(2 q\)-Bernoulli polynomials. (English) Zbl 07460929

Combinatorial properties of the \(r\)-Whitney numbers of Dowling lattices. (English) Zbl 07397943

A new class of generalized Apostol-type Frobenius-Euler-Hermite polynomials. (English) Zbl 1476.11057

On the symmetric properties for Carlitz’s generalized twisted \((h,q)\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb{Z}_p\). (English) Zbl 1476.11059

Symmetric properties for generalized \((p,q)\)-Euler zeta function and \((p,q)\)-Euler polynomials. (English) Zbl 1476.11058

On some sequences of polynomials generating the Genocchi numbers. (English. Russian original) Zbl 1473.11056

Generalized Hermite-based Apostol-type Frobenius-Genocchi polynomials and its applications. (English) Zbl 1474.11062

Two supercongruences related to multiple harmonic sums. (English) Zbl 1471.11093

Identities of symmetry for type 2 \(q\)-Bernoulli polynomials under symmetric group \(S_3\). (English) Zbl 1473.11053

A note on \((p, q)\)-analoge type of Frobenius-Genocchi numbers and polynomials. (English) Zbl 1462.05038

A new class of \(q\)-Hermite-based Apostol type Frobenius Genocchi polynomials. (English) Zbl 1461.05015

A note on the matrix representation of tangent numbers and polynomials. (English) Zbl 07333410

A note on the twisted \((h, p,q)\)-Euler numbers and polynomials. (English) Zbl 1471.11100

New degenerate Bernoulli, Euler, and Genocchi polynomials. (English) Zbl 07326531

Convolutions of generalized Stirling numbers and degenerate Bernoulli polynomials. (English) Zbl 1483.11038

Unified Apostol type Hermite-Bernoulli, Hermite-Euler and Hermite-Genocchi polynomials. (English) Zbl 1474.11066

Eulerian polynomials and excedance statistics. (English) Zbl 1456.05002

An identity for generalized Bernoulli polynomials. (English) Zbl 1471.11095

Poly-Cauchy numbers with level 2. (English) Zbl 1475.11033

A \((p, q)\)-analog of poly-Euler polynomials and some related polynomials. (English) Zbl 1446.11037

On the complex \(q\)-Appell polynomials. (English) Zbl 1473.11050

On some conjectural hypergeometric congruences. (English) Zbl 1468.11070

Congruences involving binomial coefficients and Apéry-like numbers. (English) Zbl 1474.11002

Eulerian polynomials and excedance statistics via continued fractions. (English) Zbl 1447.05009

On the central antecedents of integer (and other) sequences. (English) Zbl 1468.11250

A note on the generalized Bernoulli polynomials with \((p, q)\)-polylogarithm function. (English) Zbl 1463.11066

Some properties of generalized \(q\)-poly-Euler numbers and polynomials with variable \(a\). (English) Zbl 1463.11068

Some explicit properties of \((p, q)\)-analogue Euler sum using \((p, q)\)-special polynomials. (English) Zbl 07242814

On some tree-indexed series with one and two parameters. (English) Zbl 1445.05027

Some properties and distribution of the zeros of the \(q\)-sigmoid polynomials. (English) Zbl 1459.11061

\(p\)-adic \(L\)-functions and classical congruences. (English) Zbl 1453.11001

Two congruences concerning Apéry numbers conjectured by Z.-W. Sun. (English) Zbl 1461.11039

On permutation weights and \(q\)-Eulerian polynomials. (English) Zbl 1442.05001

Congruences for Apéry numbers \(\beta_n = \sum_{k = 0}^n \binom{n}{k}^2 \binom{n + k}{k}\). (English) Zbl 1471.11089