Dr Ilia Krasikov
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Contact
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Mathematical Sciences
John Crank 507 Brunel University Uxbridge UB8 3PH United Kingdom |
Tel: +44 (0)1895 265630 Fax: +44 (0)1895 269732 Email: ilia.krasikov@brunel.ac.uk |
Research Interests
Graph theory, combinatorics, coding theory, number theory and orthogonal polynomials
University Research Centre Membership
Research Group Membership
Publications
Journals
(Accepted) Fabbri, I.M., Lucianetti, A. and Krasikov, I., On A Sturm Liouville Periodic Boundary Values Problem, Integral Transforms and Special Functions
(Accepted) Krasikov, I. and Zarkh, A., On Zeros of Discrete Orthogonal Polynomials, J. Approx. Theory
(2008) Krasikov, I., On Erdelyi-Magnus-Nevai Conjecture for Jacobi Polynomials, Constr. Approx. 28 : 113-125
(2007) Krasikov, I., Inequalities for Orthonormal Laguerre Polynomials, J. Approx. Theory 144 (1) : 1-26
(2007) Krasikov, I., An Upper Bound on Jacobi Polynomials, J. Approx. Theory 149 (2) : 116-130
(2006) Krasikov, I., On Extreme Zeros of Classical Orthogonal Polynomials, Journal of Computational and Applied Mathematics 193 : 168-182
(2006) Krasikov, I., Uniform Bounds for Bessel Functions, Journal of Applied Analysis 12 (1) : 83-92
(2005) Krasikov, I., Turan Inequalities and Zeros of Orthogonal Polynomials, Methods and Applications of Analysis 12 (1) : 75-88
(2005) Krasikov, I., On the Maximum Value of Jacobi Polynomials, Journal of Approximation Theory 136 (1) : 1-20
(2005) Krasikov, I., Inequalities for Laguerre Polynomials, East Journal on Approximations 11 (3) : 257-268
(2004) Krasikov, I., Multiplicity of Zeros and Discrete Orthogonal Polynomials, Results in Mathematics 45 (1-2) : 59-66
(2004) Krasikov, I., New Bounds on the Hermite Polynomials, East Journal on Approximations 10 (3) : 355-362
(2004) Krasikov, I. and Noble, S.D., Finding Next-to-Shortest Paths in a Graph, Information Processing Letters 92 (3) : 117-119 BURA
(2004) Krasikov, I., Rodgers, G.J. and Tripp, C.E., Growing Random Sequences, Journal of Physics A: Mathematical and General 37 (6) : 2365-2370 BURA
(2003) Krasikov, I., Bounds for Zeros of the Laguerre Polynomials, Journal of Approximation Theory 121 (2) : 287-291
(2003) Krasikov, I., Discrete Analogues of the Laguerre Inequality, Analysis and its Applications 1 : 189-198
(2003) Krasikov, I., On Zeros of Polynomials and Allied Functions Satisfying Second Order Differential Equation, East Journal on Approximations 9 : 51-65
(2003) Krasikov, I. And Lagarias, J.C., Bounds for the 3x+1 Problem Using Difference Inequalities, Acta Arithmetica 109 (3) : 237-258
(2002) Foster, W.H. and Krasikov, I., Inequalities for Real-Root Polynomials and Entire Functions, Advances in Applied Mathematics 29 (1) : 102-114
(2002) Krasikov, I., Bounds for Zeros of the Charlier Polynomials, Methods and Applications of Analysis 9 (4) : 599-610
(2002) Krasikov, I., Lev, A. and Thatte, B.D., Upper Bounds on the Automorphism Group of a Graph, Discrete Mathematics 256 (1-2) : 489-493
(2001) Krasikov, I., Nonnegative Quadratic Forms and Bounds on Orthogonal Polynomials, Journal of Approximation Theory 111 (1) : 31-49
(2001) Krasikov, I., Bounds for the Christoffel-Darboux Kernel of the Binary Krawtchouk Polynomials, AMS-DIMACS 56 : 193-198
(2001) Krasikov, I. And Litsyn, S., On the Distance Distribution of BCH Codes and Their Duals, Designs, Codes and Cryptography 23 (2) : 223-231 BURA
(2001) Krasikov, I. And Litsyn, S., Survey of Binary Krawtchouk Polynomials, AMS-DIMACS 56 : 199-212
(2001) Krasikov, I. and Roddity, Y., On Some Ramsey Numbers of Unicyclic Graphs, Bulletin of the Institute of Combinatorics and its Applications 33 : 29-34
Others
(2006) Krasikov. I., Sharp Inequalities for Hermite Polynomials, in Constructive Theory of Functions 176-182









