## Found 118 Documents (Results 1–100)

### Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions. (English)Zbl 1496.11036

Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 783-860 (2022).
MSC:  11B68
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### Some combinatorial identities of the degenerate Bernoulli and Euler-Genocchi polynomials. (English)Zbl 1489.11038

MSC:  11B68 11B83 33C45
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### Several characterizations of Bessel functions and their applications. (English)Zbl 07472937

MSC:  33C10 26B35 65D20
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### Some certain classes of combinatorial numbers and polynomials attached to Dirichlet characters: their construction by $$p$$-adic integration and applications to probability distribution functions. (English)Zbl 07598502

Parasidis, Ioannis. N. (ed.) et al., Mathematical analysis in interdisciplinary research. Cham: Springer. Springer Optim. Appl. 179, 795-857 (2021).
MSC:  11Bxx
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### Apostol type $$(p,q)$$-Frobenius-Eulerian polynomials and numbers. (English)Zbl 1476.11041

MSC:  11B68 11B73 11B83
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### Generalized Hermite-based Apostol-Bernoulli, Euler, Genocchi polynomials and their relations. (English)Zbl 1470.11035

MSC:  11B68 05A15 33C47
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### Generalized Hermite-based Apostol-Euler polynomials and their properties. (English)Zbl 1447.33010

MSC:  33C70 33C90
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### A general class of the three-variable unified Apostol-type $$q$$-polynomials and multiple power $$q$$-sums. (English)Zbl 1432.11026

MSC:  11B73 11B83 11B68
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### Symmetric functions of binary products of Fibonacci and orthogonal polynomials. (English)Zbl 1499.05612

MSC:  05E05 11B39
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### Connection and duplication formulas for the Boas-Buck-Appell polynomials. (English)Zbl 1472.11085

MSC:  11B83 68W30
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### A note on the truncated-exponential based Apostol-type polynomials. (English)Zbl 1425.11044

MSC:  11B68 33C45
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### Some difference equations for Srivastava’s $${\lambda}$$-generalized Hurwitz-Lerch zeta functions with applications. (English)Zbl 1423.11160

MSC:  11M35 11B37
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### Unified $$(p,q)$$-analog of Apostol type polynomials of order $$\alpha$$. (English)Zbl 1488.11056

MSC:  11B68 05A30 11B73
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### Apostol type $$(p,q)$$-Frobenius-Euler polynomials and numbers. (English)Zbl 1488.05032

MSC:  05A30 11B68 11B73
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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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### Certain subclasses of analytic functions defined by a new general linear operator. (English)Zbl 1409.30015

MSC:  30C45 30C50
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### Identities on some special polynomials derived from the concepts of $$n$$-normed structures, accretive operators and contraction mappings. (Identities on some special poynomials derived from the concepts of $$n$$-normed structures, accretive operators and contraction mappings.) (English)Zbl 1398.47002

MSC:  47H06 47H09
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### A class of Frobenius-type Eulerian polynomials. (English)Zbl 1431.11036

MSC:  11B68 11B73 11B65
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### Two closed forms for the Apostol-Bernoulli polynomials. (English)Zbl 1441.11035

MSC:  11B68 05A19 11B73
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### Inclusion properties of certain subclass of univalent meromorphic functions defined by a linear operator associated with the $$\lambda$$-generalized Hurwitz-Lerch zeta function. (English)Zbl 1423.11159

MSC:  11M35 30C45 30C10
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### On higher order $$(p,q)$$-Frobenius-Euler polynomials. (English)Zbl 1388.05022

MSC:  05A30 11B68 11B73
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### Inclusion properties of certain subclass of univalent meromorphic functions defined by a linear operator associated with Hurwitz-Lerch zeta function. (English)Zbl 1386.30016

MSC:  30C45 30C50
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### Summation formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials. (English)Zbl 1373.11019

MSC:  11B68 05A19
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### Explicit formulas associated with some families of generalized Bernoulli and Euler polynomials. (English)Zbl 1402.11034

MSC:  11B68 11B73
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### Analysis of the $$p$$-adic $$q$$-Volkenborn integrals: an approach to generalized Apostol-type special numbers and polynomials and their applications. (English)Zbl 1426.11015

MSC:  11B68 11S80
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### Some new formulas for the products of the Apostol type polynomials. (English)Zbl 1419.11040

MSC:  11B68 05A19
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### A new formula of products of the Apostol-Bernoulli and Apostol-Euler polynomials. (English)Zbl 1371.11046

MSC:  11B68 05A19
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### A new class of Laguerre-based generalized Apostol polynomials. (English)Zbl 1403.11012

MSC:  11B68 33C45 33E20
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### Partial sums of certain classes of meromorphic functions related to the Hurwitz-Lerch zeta function. (English)Zbl 1492.30048

MSC:  30C45 11M35 30C10
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MSC:  11B68
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### Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials. (English)Zbl 1410.11016

MSC:  11B68 05A19
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### Elliptic extensions of the Apostol-Bernoulli and Apostol-Euler polynomials. (English)Zbl 1397.11053

MSC:  11B68 11F20 11F27
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### Some further properties of a linear operator associated with the $$\lambda$$-generalized Hurwitz-Lerch zeta function related to the class of meromorphically univalent functions. (English)Zbl 1390.30015

MSC:  30C45 11M35 33C05
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### A unified class of analytic functions involving a generalization of the Srivastava-Attiya operator. (English)Zbl 1328.30012

MSC:  30C45 30C55
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### A general fractional differential equation associated with an integral operator with the $$H$$-function in the kernel. (English)Zbl 1326.34023

MSC:  34A08 26A33
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MSC:  11B68
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MSC:  30C45
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### A new class of analytic functions defined by means of a generalization of the Srivastava-Attiya operator. (English)Zbl 1308.30024

MSC:  30C45 30C50
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### Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials. (English)Zbl 1343.11030

MSC:  11B68 05A19
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MSC:  11B68
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### Families of twisted Bernoulli numbers, twisted Bernoulli polynomials, and their applications. (English)Zbl 1375.11022

Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 149-214 (2014).
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MSC:  11M35
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### A set of finite order differential equations for the Appell polynomials. (English)Zbl 1291.33011

MSC:  33C45 33C55
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### Series representations at special values of generalized Hurwitz-Lerch zeta function. (English)Zbl 1470.11229

MSC:  11M35 41A60
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### Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials. (English)Zbl 1380.11020

MSC:  11B68 33C05
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### New identities involving Bernoulli, Euler and Genocchi numbers. (English)Zbl 1380.11015

MSC:  11B68 11S80
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### New recurrence formulae for the Apostol-Bernoulli and Apostol-Euler polynomials. (English)Zbl 1375.11013

MSC:  11B37 11B68
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### A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra. (English)Zbl 1295.11023

MSC:  11B68 11B73 05A40
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### Some properties of the generalized Apostol-type polynomials. (English)Zbl 1319.11011

MSC:  11B68 33C65
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### Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English)Zbl 1292.11043

MSC:  11B68 11B73 33C45
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### Recurrence formulae for Apostol-Bernoulli and Apostol-Euler polynomials. (English)Zbl 1377.11024

MSC:  11B68 05A19 11B37
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MSC:  30D30
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### Some families of Genocchi type polynomials and their interpolation functions. (English)Zbl 1253.05021

Integral Transforms Spec. Funct. 23, No. 12, 919-938 (2012); corrigendum 23, No. 12, 939-940 (2012).
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MSC:  11B68
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### Another discrete Fourier transform pairs associated with the Lipschitz-Lerch zeta function. (English)Zbl 1280.11051

MSC:  11M35 11B68 42A38
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### A new generalization of the Riemann zeta function and its difference equation. (English)Zbl 1339.11082

MSC:  11M35 11M41
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### Some extensions of the Fermi-Dirac and Bose-Einstein functions with applications to the family of the zeta and related functions. (English)Zbl 1252.82021

MSC:  82B10 11M35 33E20
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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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### Unified Apostol-Bernoulli, Euler and Genocchi polynomials. (English)Zbl 1231.33013

MSC:  11B68 33C45 33C05
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### $$p$$-adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials. (English)Zbl 1229.11038

MSC:  11B68 11S80
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### Notes on generalization of the Bernoulli type polynomials. (English)Zbl 1269.11023

MSC:  11B68 11M35
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### Integral and computational representations of the extended Hurwitz-Lerch zeta function. (English)Zbl 1242.11065

MSC:  11M35 33C60 33C05
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MSC:  11B68
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MSC:  11B83
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### A new generalization of the Bernoulli and related polynomials. (English)Zbl 1259.11032

MSC:  11B68 11M35
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### A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials. (English)Zbl 1207.33015

MSC:  11B68 11M35
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### Laguerre-based Appell polynomials: properties and applications. (English)Zbl 1201.33006

MSC:  33C65 11B68
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### A family of $$p$$-adic twisted interpolation functions associated with the modified Bernoulli numbers. (English)Zbl 1211.11133

MSC:  11S80 11B68 11M35
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### Some formulas related to Hurwitz-Lerch zeta functions. (English)Zbl 1268.11125

MSC:  11M35 11J86 33B15
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### On the values of a class of Dirichlet series at rational arguments. (English)Zbl 1185.11052

MSC:  11M35 33B15
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### Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials. (English)Zbl 1214.11032

MSC:  11B68 11M35 42A16
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