• Title/Summary/Keyword: Mathematics Interesting

Search Result 518, Processing Time 0.025 seconds

ANOTHER NEW HYPERGEOMETRIC GENERATING RELATION CONTIGUOUS TO THAT OF EXTON

  • Shaloo Malani;Arjun K.Rathie;Choi, June-Sang
    • Communications of the Korean Mathematical Society
    • /
    • v.15 no.4
    • /
    • pp.691-696
    • /
    • 2000
  • Very recently Professor Exton derived an interesting hypergeometric generating relation. The authors aim at deriving another hypergeometric generating relation by using the same technique developed by Exton. Some interesting special cases have also been given.

  • PDF

SOME IDENTITIES OF THE GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH BERNSTEIN POLYNOMIALS

  • Lee, H.Y.;Jung, N.S.;Ryoo, C.S.
    • Journal of applied mathematics & informatics
    • /
    • v.29 no.5_6
    • /
    • pp.1221-1228
    • /
    • 2011
  • Recently, several mathematicians have studied some interesting relations between extended q-Euler number and Bernstein polynomials(see [3, 5, 7, 8, 10]). In this paper, we give some interesting identities on the Genocchi polynomials and Bernstein polynomials.

REMARKS ON CRITERIA FOR THE EXISTENCE OF A POSITIVE EQUILIBRIUM IN REACTION NETWORKS

  • Choo, S.M.
    • Journal of applied mathematics & informatics
    • /
    • v.29 no.3_4
    • /
    • pp.949-953
    • /
    • 2011
  • It is interesting to know the behavior of a network from its structure. One interesting topic is to find a relation between the existence of a positive equilibrium of the reaction network and its structure. One approach to study this topic is using the concept of deficiency. Another is using some conditions on nodes, which can apply to large-size networks compared to deficiency. In this work, we show the relation between deficiency and the conditions.

Partial Sums of Starlike Harmonic Univalent Functions

  • Porwal, Saurabh;Dixit, Kaushal Kishore
    • Kyungpook Mathematical Journal
    • /
    • v.50 no.3
    • /
    • pp.433-445
    • /
    • 2010
  • Although, interesting properties on the partial sums of analytic univalent functions have been investigated extensively by several researchers, yet analogous results on partial sums of harmonic univalent functions have not been so far explored. The main purpose of the present paper is to establish some new and interesting results on the ratio of starlike harmonic univalent function to its sequences of partial sums.

AN ELEMENTARY PROOF OF THE EXISTENCE OF A POSITIVE EQUILIBRIUM IN REACTION NETWORKS

  • Choo, S.M.
    • Journal of applied mathematics & informatics
    • /
    • v.28 no.5_6
    • /
    • pp.1545-1552
    • /
    • 2010
  • It is interesting to know the behavior of a network from its structure. One interesting topic is to find a relation between the existence of a positive equilibrium of the reaction network and its structure. One approach to study this topic is using the concept of deficiency. In this work, we develop an algorithm and show an elementary proof of the relation based on the algorithm and deficiency.

A Study of Byproduct Mathematization (Byproduct Mathematization에 관한 연구)

  • Kim, Boo-Yoon;Chung, Young-Woo
    • Journal of Educational Research in Mathematics
    • /
    • v.20 no.2
    • /
    • pp.145-161
    • /
    • 2010
  • Concepts in mathematics have been formulated for unifying and abstractizing materials in mathematics. In this procedure, usually some developments happen by necessity as well as for their own rights, so that various interesting materials can be produced as byproducts. These byproducts can also be established by themselves mathematically, which is called byproduct mathematization (sub-mathematization). As result, mathematization and its byproduct mathematization interrelated to be developed to obtain interesting results and concepts in mathematics. In this paper, we provide explicit examples:the mathematization is the continuity of trigonometric functions, while its byproduct mathematization is various trigonometric identities. This suggestion for explaining and showing mathematization as well as its byproduct mathematization enhance students to understand trigonometric functions and their related interesting materials.

  • PDF

ON INTEGRAL OPERATORS INVOLVING THE PRODUCT OF GENERALIZED BESSEL FUNCTION AND JACOBI POLYNOMIAL

  • KHAN, WASEEM A.;GHAYASUDDIN, M.;SRIVASTAVA, DIVESH
    • Journal of applied mathematics & informatics
    • /
    • v.36 no.5_6
    • /
    • pp.397-409
    • /
    • 2018
  • The aim of this research note is to evaluate two generalized integrals involving the product of generalized Bessel function and Jacobi polynomial by employing the result of Obhettinger [2]. Also, by mean of the main results, we have established an interesting relation in between $Kamp{\acute{e}}$ de $F{\acute{e}}riet$ and Srivastava and Daoust functions. Some interesting special cases of our main results are also indicated.