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19952022
most citedToward a global description of the nucleus-nucleus interaction

595 citations

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6 papers · 1 filter

math.CA2017★ 5 cited

Christoffel formula for kernel polynomials on the unit circle

Cleonice F. Bracciali, Andrei Martínez-Finkelshtein, A. Sri Ranga +1

Given a nontrivial positive measure on the unit circle, the associated Christoffel-Darboux kernels are , $n \geq…

math.CA2016★ 4 cited

Orthogonal Polynomials Associated with Complementary Chain Sequences

Kiran Kumar Behera, A. Sriranga, A. Swaminathan

Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using…

math.CA2015★ 9 cited

Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure

A. Martinez-Finkelshtein, A. Sri Ranga, Daniel O. Veronese

Given a non-trivial Borel measure on the unit circle , the corresponding reproducing (or Christoffel-Darboux) kernels with one of the variables fixed at consti…

math.CA2014★ 39 cited

Radii of starlikeness of some special functions

Árpád Baricz, Dimitar K. Dimitrov, Halit Orhan +1

Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, there different normalizations are applied in such a way t…

math.CA2014★ 17 cited

Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas

Cleonice F. Bracciali, Alagacone Sri Ranga, Anbhu Swaminathan

When a nontrivial measure on the unit circle satisfies the symmetry then the associated OPUC, say , are all real. In this case, Delsarte a…

math.CA2013★ 29 cited

A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula

Kenier Castillo, Marisa Costa, A. Sri Ranga +1

The objective of this manuscript is to study directly the Favard type theorem associated with the three term recurrence formula % \[ R_{n+1}(z) = \big[(1+ic_{n+1})z+(1-ic_{n+1})\bi…