DEVELOPMENT OF GRAMMAR IN HINDI AND MALAYALAM BASED ON CLASSICAL TEXTS

HINDI

AN ANALYTICAL STUDY OF THE TRENDS OF HINDI CONTEMPORARY POETRY

HINDI

DIMENSIONS OF CULTURAL CRISIS IN CONTEMPORARY HINDI POETRY

Hindi

SATIRE IN MODERN HINDI POETRY [1930-1960]

HINDI

HUMOUR IN MEDIEVAL HINDI AND MALAYALAM POETRY

HINDI

SOCIAL CONSCIOUSNESS IN THE POETRY oF MUKTHIBODH

HINDI

CONCEPT OF POETRY IN THE WORKS OF MODERN HINDI POETS

HINDI

SOCIAL CONSCIOUSNESS IN POST-INDEPENDENT HINDI POETRY (I947-I970)

HINDI

A COMPARATIVE STUDY OF THE MAIN TRENDS OF MODERN SWAGHANDATAVAD IN THE POETRY OF HINDI AND TAMIL

HINDI

The contribution of representative poets in the development of modern Hindi criticism on poetry

HINDI

Nirala’s role in the advent of modern trends in Hindi poetry

HINDI

Novel esterases from microbes through classical and metagenomics approach: Studies on the enzymes and their applications

Cochin University of Science And Technology

A generic formula for the values at the boundary points of monic classical orthogonal polynomials

In a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type σ(x)y"n(x)+τ(x)y'n(x)-λnyn(x)=0. In this paper, we give another such formula which enables us to present a generic formula for the values of monic classical orthogonal polynomials at their boundary points of definition.

Characterization theorem for classical orthogonal polynomials on non-uniform lattices: The functional approach

Using the functional approach, we state and prove a characterization theorem for classical orthogonal polynomials on non-uniform lattices (quadratic lattices of a discrete or a q-discrete variable) including the Askey-Wilson polynomials. This theorem proves the equivalence between seven characterization properties, namely the Pearson equation for the linear functional, the second-order divided-difference equation, the orthogonality of the derivatives, the Rodrigues formula, two types of structure relations,and the Riccati equation for the formal Stieltjes function.

Moments of classical orthogonal polynomials

The aim of this work is to find simple formulas for the moments mu_n for all families of classical orthogonal polynomials listed in the book by Koekoek, Lesky and Swarttouw. The generating functions or exponential generating functions for those moments are given.