Some computational formulas for -Nörlund numbers.
Some debts I owe.
Some easily derivable integer sequences.
Some formulas for the central trinomial and Motzkin numbers.
Some identities for factorials and binomial coefficients
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 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 the Lah and Laguerre transforms of integer sequences.
Some properties of associated Stirling numbers.
Some q-analogs of congruences for central binomial sums
We establish q-analogs for four congruences involving central binomial coefficients. The q-identities necessary for this purpose are shown via the q-WZ method.
Some recurrence relations for Cauchy numbers of the first kind.
Some results for sums of the inverses of binomial coefficients.
Some symmetric identities involving a sequence of polynomials.
SomeRremarks on a Combinatorial Problem
Spherical Functions and a q-Analogue of Kostant's Weight Multiplicity Formula.
Stirling distributions and Stirling numbers of the second kind. Computational problems in statistics
Sum relations for Lucas sequences.
Sums of reciprocals of the central binomial coefficients.
Super boson-fermion correspondence
We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex operator constructions...
Supernomial coefficients, supernomials coefficients Bailey's lemma and Rogers-Ramanujan-type identities. A survey of results and open problems.