Found 194 Documents (Results 1–100)
Some relations on the degenerate Korobov polynomials and poly-Korobov polynomials. (English) Zbl 07881007
Series expansions for real powers of sinc function and closed-form expression for specific partial Bell polynomials. (English) Zbl 07877078
Some identities involving Stirling numbers arising from matrix decompositions. (English) Zbl 07875562
Probabilistic degenerate Stirling polynomials of the second kind and their applications. (English) Zbl 1532.11033
Symmetric identities for the generalized Hermite-based unified Apostol type polynomials. (English) Zbl 07920932
Bivariate extension of the \(r\)-Dowling polynomials and two forms of generalized Spivey’s formula. (English) Zbl 1517.05028
On \(s\)-Stirling transform and poly-Cauchy numbers of the second kind with level 2. (English) Zbl 1520.11033
The \(l, r\)-Lah numbers. (English) Zbl 1511.05018
Reviewer: Uğur Duran (Iskenderun)
Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers. (English) Zbl 1537.11037
Reviewer: Yilmaz Simsek (Antalya)
Some identities of fully degenerate dowling and fully degenerate Bell polynomials arising from \(\lambda\)-umbral calculus. (English) Zbl 1517.11022
A finite sum involving generalized falling factorial polynomials and degenerate Eulerian polynomials. (English) Zbl 1523.11045
A formula on Stirling numbers of the second kind and its application to the unstable \(K\)-theory of stunted complex projective spaces. (English) Zbl 1506.11037
A closed-form expression of a remarkable sequence of polynomials originating from a family of entire functions connecting the Bessel and Lambert functions. (English) Zbl 1503.11056
Two identities and closed-form formulas for the Bernoulli numbers in terms of central factorial numbers of the second kind. (English) Zbl 1510.11075
Some identities on degenerate Bell polynomials and their related identities. (English) Zbl 1492.11039
Implementation of computation formulas for certain classes of Apostol-type polynomials and some properties associated with these polynomials. (English) Zbl 1489.05005
Some identities of a new type of degenerate poly-Frobenius-Euler polynomials and numbers. (English) Zbl 1492.11058
A new family of degenerate poly-Bernoulli polynomials of the second kind with its certain related properties. (English) Zbl 1508.11032
Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers. (English) Zbl 1496.11042
On noncentral Tanny-Dowling polynomials and generalizations of some formulas for geometric polynomials. (English) Zbl 1460.11032
A note on some identities of Bernoulli numbers arising from Riemann integrals. (English) Zbl 1499.11112
Some identities on the fully degenerate Bell polynomials of the second kind. (English) Zbl 1499.11142
On fully degenerate Bell numbers and polynomials. (English) Zbl 1499.11133
MSC:
11B73
New construction of type 2 degenerate central Fubini polynomials with their certain properties. (English) Zbl 1486.11030
Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae-Stirling numbers. (English) Zbl 1482.11033
Closed formulas for special Bell polynomials by Stirling numbers and associate Stirling numbers. (English) Zbl 1499.11143
A note on \(q\)-analogue of poly-Euler polynomials and Arakawa-Kaneko type zeta function. (English) Zbl 1499.11114
Identities involving the degenerate generalized \((p,q)\)-poly-Bernoulli numbers and polynomials. (English) Zbl 1499.11092
Some identities involving Bell polynomials. (Chinese. English summary) Zbl 1463.11077
Special values of the Bell polynomials of the second kind for some sequences and functions. (English) Zbl 1444.11040
The centroid of the zeroes of a polynomial via certain Laguerre-type operators. (English) Zbl 1508.33008
Some properties and an application of multivariate exponential polynomials. (English) Zbl 1471.11113
A note on the generalized Bernoulli polynomials with \((p, q)\)-polylogarithm function. (English) Zbl 1463.11066
Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus. (English) Zbl 1439.11074
Some tridiagonal determinants related to central Delannoy numbers, the Chebyshev polynomials, and the Fibonacci polynomials. (English) Zbl 1513.11057
A note on \(q\)-analogue of Hermite-poly-Bernoulli numbers and polynomials. (English) Zbl 1465.11072
Some identities involving second kind Stirling numbers of types \(B\) and \(D\). (English) Zbl 1439.05031
Reviewer: Khristo N. Boyadzhiev (Ada)
Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application. (English) Zbl 1435.26011
MSC:
26D05
Notes on explicit and inversion formulas for the Chebyshev polynomials of the first two kinds. (English) Zbl 1449.11045
Explicit expressions related to degenerate Cauchy numbers and their generating function. (English) Zbl 1429.11045
Singh, Jagdev (ed.) et al., Mathematical modelling, applied analysis and computation. Selected papers of the first international conference, ICMMAAC 2018, JECRC University, Jaipur, India, July 6–8, 2018. Singapore: Springer. Springer Proc. Math. Stat. 272, 41-52 (2019).
Extended degenerate \(r\)-central factorial numbers of the second kind and extended degenerate \(r\)-central Bell polynomials. (English) Zbl 1425.11038
Simplifying coefficients in differential equations associated with higher order Bernoulli numbers of the second kind. (English) Zbl 1429.34025
Notes on two kinds of special values for the Bell polynomials of the second kind. (English) Zbl 1438.11060
Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials. (English) Zbl 1418.11038
Some identities involving second kind Stirling numbers of types \(B\) and \(D\). (English) Zbl 1416.05037
Identities and derivative formulas for the combinatorial and Apostol-Euler type numbers by their generating functions. (English) Zbl 1499.05020
Some symmetric identities involving the Stirling polynomials under the finite symmetric group. (English) Zbl 1425.11042
Simplifying coefficients in a family of nonlinear ordinary differential equations. (English) Zbl 1437.11038
On central Fubini polynomials associated with central factorial numbers of the second kind. (English) Zbl 1439.11082
Differential equations arising from the generating function of degenerate Bernoulli numbers of the second kind. (English) Zbl 1428.05036
Reviewer: Stefano Capparelli (Roma)
Simplifying coefficients in a family of ordinary differential equations related to the generating function of the Laguerre polynomials. (English) Zbl 1408.33023
Some properties of the Bernoulli numbers of the second kind and their generating function. (English) Zbl 1406.11017
A research on the generalized poly-Bernoulli polynomials with variable \(a\). (English) Zbl 1442.11041
On the extension of degenerate Stirling polynomials of the second kind and degenerate Bell polynomials. (English) Zbl 1423.11059
On multivariate logarithmic polynomials and their properties. (English) Zbl 1415.11056
Reviewer: József Sándor (Cluj-Napoca)
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