Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials.
Some identities of degenerate special polynomials
In this paper, by considering higher-order degenerate Bernoulli and Euler polynomials which were introduced by Carlitz, we investigate some properties of mixed-type of those polynomials. In particular, we give some identities of mixed-type degenerate special polynomials which are derived from the fermionic integrals on Zp and the bosonic integrals on Zp.
Some identities on the generalized -Bernoulli numbers and polynomials associated with -Volkenborn integrals.
Some identities on the -Genocchi polynomials of higher-order and -Stirling numbers by the fermionic -adic integral on .
Some inequalities for Kurepa's functions.
Some inequalities for the sum of two sets of lattice points
Some integer sequences related to Pisot sequences
Some interpretations of the -Fibonacci numbers
In this paper we consider two parameters generalization of the Fibonacci numbers and Pell numbers, named as the -Fibonacci numbers. We give some new interpretations of these numbers. Moreover using these interpretations we prove some identities for the -Fibonacci numbers.
Some modular results on the Euler and Bernoulli polynomials
Some new exact van der Waerden numbers.
Some new transformations for Bailey pairs and WP-Bailey pairs
We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding transformations relating standard Bailey pairs, and as a consequence, derive some quite general expansions for products of theta functions which can also be expressed as certain types of Lambert series.
Some observations on subset sum representations.
Some observations on the Lah and Laguerre transforms of integer sequences.
Some partition problems related to the Stirling numbers of the second kind
Some postage stamp 2-bases.
Some problems in number theory, combinatorics and combinatorial geometry.
Some problems of combinatorial number theory related to Bertrand's postulate.
Some problems on splittings of groups.
Some properties of a certain nonaveraging sequence.
Some properties of Buck's measure density