• 제목/요약/키워드: Engineering Mathematics

검색결과 2,398건 처리시간 0.028초

ON SANDWICH THEOREMS FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING CARLSON-SHAFFER OPERATOR

  • Shanmugam, Tirunelveli Nellaiappan;Srikandan, Sivasubramanian;Frasin, Basem Aref;Kavitha, Seetharaman
    • 대한수학회지
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    • 제45권3호
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    • pp.611-620
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    • 2008
  • The purpose of this present paper is to derive some subordination and superordination results involving Carlson-Shaffer operator for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

GENERALIZATION OF EXTENDED BETA FUNCTION, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Lee, Dong-Myung;Rathie, Arjun K.;Parmar, Rakesh K.;Kim, Yong-Sup
    • 호남수학학술지
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    • 제33권2호
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    • pp.187-206
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    • 2011
  • The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas transform formulas, recurrence relations, summation formula for these new generalization.

HOLD EFFECT IN FINITE TORSION OF A COMPRESSIBLE ELASTIC TUBE

  • Akinola, A.P;Layeni, O.P;Ldejobi, O.A.;Umoru, L.E.
    • Journal of applied mathematics & informatics
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    • 제16권1_2호
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    • pp.323-336
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    • 2004
  • We consider the application of complex variable method to elastic problem and investigate the nonlinear effect of finite torsion of a compressible elastic composite layer. We obtain that as a result of finite deformation approach, a tube subjected to torsion decreases in radius giving rise to a “hold effect”.

ANALYTICAL SOLUTION OF COUPLED RADIATION-CONVECTION DISSIPATIVE NON-GRAY GAS FLOW IN A NON-DARCY POROUS MEDIUM

  • Darvishi, Mohammad Taghi;Khani, Farzad;Aziz, Abdul
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1203-1216
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    • 2010
  • The homotopy analysis method (HAM) has been applied to develop an analytic solution for the coupled radiation-convection dissipative non-gray gas flow in a non-Darcy porous medium. Results are presented for the surface shear and temperature profiles are presented to illustrate the effect of various parameters appearing in the analytical formulation. The accuracy and convergence of the method is also discussed.

A DELAYED SIR EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE AND PULSE VACCINATION

  • Du, Yanke;Xu, Rui
    • Journal of applied mathematics & informatics
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    • 제28권5_6호
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    • pp.1089-1099
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    • 2010
  • An SIR epidemic model with pulse vaccination and time delay describing infection period is investigated. The global attractiveness of the infection-free periodic solution is discussed, and sufficient condition is obtained for the permanence of the system. Our results indicate that a large vaccination rate or a short period of pulsing leads to the eradication of the disease.

GEOMETRY OF LOCALLY PROJECTIVELY FLAT FINSLER SPACE WITH CERTAIN (𝛼, 𝛽)-METRIC

  • AJAYKUMAR ABBANIRAMAKRISHNAPPA;PRADEEP KUMAR
    • Journal of applied mathematics & informatics
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    • 제41권1호
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    • pp.193-203
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    • 2023
  • In view of solution to the Hilbert fourth problem, the present study engages to investigate the projectively flat special (𝛼, 𝛽)-metric and the generalised first approximate Matsumoto (𝛼, 𝛽)-metric, where 𝛼 is a Riemannian metric and 𝛽 is a differential one-form. Further, we concluded that 𝛼 is locally Projectively flat and have 𝛽 is parallel with respect to 𝛼 for both the metrics. Also, we obtained necessary and sufficient conditions for the aforementioned metrics to be locally projectively flat.

APPROXIMATION OF DRYGAS FUNCTIONAL EQUATION IN QUASI-BANACH SPACE

  • RAVINDER KUMAR SHARMA;SUMIT CHANDOK
    • Journal of applied mathematics & informatics
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    • 제41권3호
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    • pp.469-485
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    • 2023
  • In this paper, we investigate the Hyers-Ulam-Rassias stability for a Drygas functional equation g(u + v) + g(u - v) = 2g(u) + g(v) + g(-v) in the setting of quasi-Banach space using fixed point approach. Also, we give general results on hyperstability of a Drygas functional equation. The results obtain in this paper extend various previously known results in the setting of quasi-Banach space. Some examples are also illustrated.