• 제목/요약/키워드: Mathematics Interesting

검색결과 516건 처리시간 0.02초

ANOTHER NEW HYPERGEOMETRIC GENERATING RELATION CONTIGUOUS TO THAT OF EXTON

  • Shaloo Malani;Arjun K.Rathie;Choi, June-Sang
    • 대한수학회논문집
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    • 제15권4호
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    • pp.691-696
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    • 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.

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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
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    • 제29권5_6호
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    • pp.1221-1228
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    • 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
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    • 제29권3_4호
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    • pp.949-953
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    • 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
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    • 제50권3호
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    • pp.433-445
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    • 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
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    • 제28권5_6호
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    • pp.1545-1552
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    • 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.

Byproduct Mathematization에 관한 연구 (A Study of Byproduct Mathematization)

  • 김부윤;정영우
    • 대한수학교육학회지:수학교육학연구
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    • 제20권2호
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    • pp.145-161
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    • 2010
  • 본 연구에서는 수학적 지식이 구명되고 형식화되는 과정을 '수학화(mathematization)'와 '곁가지의 수학화(byproduct mathematization)'란 개념으로 정의하고 분석하였다. 수학화는 수학적 개념들 간의 내적연결성 및 당위성을 경험하도록 교수 학습 활동을 구성하는데 있어 하나의 모델이 된다. 그리고 구체적 예로 '삼각함수의 연속성에 대한 수학화'와 '삼각함수의 덧셈정리의 곁가지의 수학화'를 구성하였다. 이러한 수학화는 교사의 전문성 신장을 위한 학문적 배경 지식을 주며, 가르칠 지식에 대한 다양한 지도 관점을 제공한다.

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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
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    • 제36권5_6호
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    • pp.397-409
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    • 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.