## Found 124 Documents (Results 1–100)

100
MathJax

### New results on Bernoulli numbers of higher order. (English)Zbl 07524617

MSC:  11B68 11B73 11M36
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### Some identities of Carlitz’s type degenerate $$q$$-Changhee polynomials and numbers. (English)Zbl 07539949

MSC:  11B68 11S80
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### New generalized Apostol-Frobenius-Euler polynomials and their matrix approach. (English)Zbl 07386856

MSC:  33C47 11B68
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### New biparametric families of Apostol-Frobenius-Euler polynomials of level $$m$$. (English)Zbl 1471.11094

MSC:  11B68 11B73 05A19
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### A note on some identities of Bernoulli numbers arising from Riemann integrals. (English)Zbl 07540097

MSC:  11B68 11B73 11B83
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### On finite times degenerate Changhee numbers and polynomials with some applications. (English)Zbl 07540081

MSC:  11B68 11S40 11S80
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### Some new identities and inequalities for Bernoulli polynomials and numbers of higher order related to the Stirling and Catalan numbers. (English)Zbl 1484.11072

MSC:  11B68 11B73 26C05
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### Some symmetric identities for the multiple ($$p$$, $$q$$)-Hurwitz-Euler eta function. (English)Zbl 1425.11037

MSC:  11B68 11S40 11S80
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### Closed form expressions for Appell polynomials. (English)Zbl 1459.11055

MSC:  11B68 33C45 60E05
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### Modified Apostol-Euler numbers and polynomials of higher order. (English)Zbl 1431.11033

MSC:  11B68 33C05 11B73
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### Sums of products of two variable higher-order Fubini functions arising from Fourier series. (English)Zbl 1414.11034

MSC:  11B83 42A16

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### Fourier series of sums of products of higher-order Genocchi functions. (English)Zbl 1423.11044

MSC:  11B65 11B68 42A16

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### Differential equations associated with twisted $$(h,q)$$-tangent polynomials. (English)Zbl 1391.11040

MSC:  11B68 11S40 11S80
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### Fourier series of functions associated with higher-order Bernoulli polynomials. (English)Zbl 1412.11040

MSC:  11B68 42A16
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### On degenerate $$q$$-tangent polynomials of higher order. (English)Zbl 1371.11058

MSC:  11B68 11S40 11S80
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### Series of sums of products of higher-order Bernoulli functions. (English)Zbl 1371.11053

MSC:  11B68 42A16
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### Explicit formulas and recurrence relations for higher order Eulerian polynomials. (English)Zbl 1377.11030

MSC:  11B68 11B37
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### Some symmetric identities for the higher-order $$q$$-Euler polynomials related to symmetry group $$S_3$$ arising from $$p$$-adic $$q$$-fermionic integrals on $$\mathbb Z_p$$. (English)Zbl 1446.11034

MSC:  11B68 11S80
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### Identities of symmetry for the higher-order Carlitz’s degenerate $$q$$-Euler polynomials under the symmetry group of degree 3. (English)Zbl 1412.11036

MSC:  11B68 11S80

### Expansions of degenerate $$q$$-Euler numbers and polynomials. (English)Zbl 1423.11055

MSC:  11B68 11S80

### Differential equations associated with higher-order Bernoulli numbers of the second kind revisited. (English)Zbl 1360.05017

MSC:  05A19 11B83 34A30

### Identities of symmetry for $$(h,q)$$-extensions of generalized higher-order Euler polynomials. (English)Zbl 1404.11023

MSC:  11B68 11S80

### Differential equations associated with tangent numbers. (English)Zbl 1348.11020

MSC:  11B68 11S40 11S80
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### On finite times degenerate higher-order Cauchy numbers and polynomials. (English)Zbl 1396.11046

MSC:  11B68 11S40 11S80
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### Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis. (English)Zbl 1338.11025

MSC:  11B68 11S80
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### On identities between sums of Euler numbers and Genocchi numbers of higher order. (English)Zbl 1353.11033

MSC:  11B68 11B65

### On the twisted $$q$$-Changhee polynomials of higher order. (English)Zbl 1353.11040

MSC:  11B68 11S80 05A40

### Symmetric identities of higher-order degenerate $$q$$-Euler polynomials. (English)Zbl 1350.11031

MSC:  11B68 11S80
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### On finite-times degenerate Cauchy numbers and polynomials. (English)Zbl 1422.11042

MSC:  11B68 11S40 11S80
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### Some identities of Barnes-type special polynomials. (English)Zbl 1364.11057

MSC:  11B68 11S80
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### Congruences for generalizations of higher-order Euler numbers. (Chinese. English summary)Zbl 1349.11045

MSC:  11B68 11A07
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### On the identities of symmetry for degenerate Bernoulli polynomials of order $$r$$. (English)Zbl 1360.11043

MSC:  11B68 11S80

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### Representation of higher-order Euler numbers using the solution of Bernoulli equation. (English)Zbl 1361.34003

MSC:  34A05 11B68

### Identities involving generalized harmonic numbers. (English)Zbl 1321.05018

MSC:  05A40 05A19

### Identities of symmetry for higher-order $$q$$-Bernoulli polynomials. (English)Zbl 1318.11030

MSC:  11B68 11S80
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MSC:  11B68
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### Theorems on Genocchi polynomials of higher order arising from Genocchi basis. (English)Zbl 1357.11030

MSC:  11B83 11B68
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### On the twisted $$q$$-Daehee polynomials of higher order. (English)Zbl 1318.11039

MSC:  11B68 11S80 05A19
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### A note of the generalized $$q$$-Daehee numbers of higher order. (English)Zbl 1366.11051

MSC:  11B68 11S40 11S80

### Identities of symmetry for the higher order $$q$$-Bernoulli polynomials. (English)Zbl 1372.11028

MSC:  11B68 11S80
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### A new family of $$q$$-analogue of Genocchi numbers and polynomials of higher order. (English)Zbl 1296.11018

MSC:  11B83 11B68
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### Normalized polynomials and their multiplication formulas. (English)Zbl 1365.05030

MSC:  05A40 11B83 11B68
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### Abundant symmetry for higher-order Bernoulli polynomials. II. (English)Zbl 1322.11021

MSC:  11B68 11S80 05A19

### Extension of the higher-order twisted $$q$$-Euler numbers and polynomials with multi weight $${\beta}_i$$ and higher $$h_i$$. (English)Zbl 1321.11026

MSC:  11B68 11S40 11S80

### Abundant symmetry for higher-order Bernoulli polynomials. I. (English)Zbl 1332.11026

MSC:  11B68 11S80 05A19

### $$p$$-adic invariant integral on $$\mathbb{Z}_p$$ associated with the Changhee’s $$q$$-Bernoulli polynomials. (English)Zbl 1345.11015

MSC:  11B68 11S80
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### Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials. (English)Zbl 1291.05022

MSC:  05A40 11B75 11B83
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### A note on the generalized higher-order $$q$$-Bernoulli numbers and polynomials with weight $$\alpha$$. (English)Zbl 1282.11013

MSC:  11B68 11S40 11S80
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### Some results for the Apostol-Genocchi polynomials of higher order. (English)Zbl 1308.11023

MSC:  11B68 05A10 05A15
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### On sums of products of the extended $$q$$-Euler numbers. (English)Zbl 1290.11041

J. Math. Anal. Appl. 397, No. 2, 522-528 (2013); corrigendum ibid. 415, No. 1, 497-498 (2014).
MSC:  11B68 11M35 11S80
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### Some identities on the higher-order-twisted $$q$$-Euler numbers and polynomials with weight $$\alpha$$. (English)Zbl 1277.11021

MSC:  11B68 11S40 11S80
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### On the $$q$$-extension of higher-order Euler polynomials. (English)Zbl 1346.11024

MSC:  11B68 11S80
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### Identities of symmetry for higher-order Euler polynomials in three variables. I. (English)Zbl 1318.11035

MSC:  11B68 05A19 11S80

### On the modified $$q$$-Bernoulli numbers of higher order with weight. (English)Zbl 1314.11009

MSC:  11B68 11S80
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### On a $$p$$-adic analogue of $$k$$-ple Riemann zeta function. (English)Zbl 1271.11109

MSC:  11S80 11B68 11M32
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### Interpolation function of generalized $$q$$-Bernstein-type basis polynomials and applications. (English)Zbl 1352.65067

Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 7th international conference, Avignon, France, June 24–30, 2010. Revised selected papers. Berlin: Springer (ISBN 978-3-642-27412-1/pbk). Lecture Notes in Computer Science 6920, 647-662 (2012).
MSC:  65D17 65D05
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### A note on the second kind $$q$$-Euler polynomials of higher order. (English)Zbl 1244.11024

MSC:  11B68 11S40 11S80
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### Some series identities involving the generalized Apostol type and related polynomials. (English)Zbl 1236.33020

MSC:  33C45 11B83
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### A $$p$$-adic view of multiple sums of powers. (English)Zbl 1256.11065

MSC:  11S40 11M32 11B68
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### On the symmetry properties of the generalized higher-order Euler polynomials. (English)Zbl 1266.11036

MSC:  11B68 11S80

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### A new proof of the symmetric properties for the twisted generalized Euler polynomials of higher order. (English)Zbl 1247.11030

MSC:  11B68 11S80

### Identities of symmetry for higher-order Euler polynomials in three variables. II. (English)Zbl 1213.11047

MSC:  11B68 11S80
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MSC:  11B83
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### New approach to $$q$$-Euler polynomials of higher order. (English)Zbl 1259.11030

MSC:  11B68 11S80
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### The second kind Genocchi polynomials of higher order. (English)Zbl 1211.11028

MSC:  11B68 11S40 11S80
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### A new approach to $$q$$-Genocchi numbers and their interpolation functions. (English)Zbl 1238.11017

MSC:  11B65 11B68 11S80
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### Symmetry properties of higher-order Bernoulli polynomials. (English)Zbl 1241.11019

MSC:  11B68 11S80
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### Note on the $$q$$-extension of Barnes’ type multiple Euler polynomials. (English)Zbl 1196.11039

MSC:  11B68 33D15 33E50
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### The multiplication formulas for the Apostol-Bernoulli and Apostol-Euler polynomials of higher order. (English)Zbl 1237.11009

MSC:  11B68 05A10 05A15
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### On higher order Lucas-Bernoulli numbers. (English)Zbl 1266.11038

MSC:  11B68 11B39

### An identity involving Nörlund numbers and Stirling numbers of the first kind. (English)Zbl 1199.11055

MSC:  11B68 11B73

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### Expression for restricted partition function through Bernoulli polynomials. (English)Zbl 1153.11051

MSC:  11P81 11B68 11B37
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### Some properties of the generalized Euler and Bernoulli polynomials. (Chinese. English summary)Zbl 1174.11360

MSC:  11B68 05A19

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### Several identities involving Apostol-Euler numbers of higher order, wrong permutation numbers and Stirling numbers of the first kind. (Chinese. English summary)Zbl 1150.11351

MSC:  11B73 11B68

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