• 제목/요약/키워드: special function

검색결과 1,373건 처리시간 0.022초

MONOTONICITY CRITERION AND FUNCTIONAL INEQUALITIES FOR SOME q-SPECIAL FUNCTIONS

  • Mehrez, Khaled
    • 대한수학회지
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    • 제58권1호
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    • pp.133-147
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    • 2021
  • Our aim in this paper is to derive several new monotonicity properties and functional inequalities of some functions involving the q-gamma, q-digamma and q-polygamma functions. More precisely, some classes of functions involving the q-gamma function are proved to be logarithmically completely monotonic and a class of functions involving the q-digamma function is showed to be completely monotonic. As applications of these, we offer upper and lower bounds for this special functions and new sharp upper and lower bounds for the q-analogue harmonic number harmonic are derived. Moreover, a number of two-sided exponential bounding inequalities are given for the q-digamma function and two-sided exponential bounding inequalities are then obtained for the q-tetragamma function.

Isoforms, structures, and functions of versatile spectraplakin MACF1

  • Hu, Lifang;Su, Peihong;Li, Runzhi;Yin, Chong;Zhang, Yan;Shang, Peng;Yang, Tuanmin;Qian, Airong
    • BMB Reports
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    • 제49권1호
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    • pp.37-44
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    • 2016
  • Spectraplakins are crucially important communicators, linking cytoskeletal components to each other and cellular junctions. Microtubule actin crosslinking factor 1 (MACF1), also known as actin crosslinking family 7 (ACF7), is a member of the spectraplakin family. It is expressed in numerous tissues and cells as one extensively studied spectraplakin. MACF1 has several isoforms with unique structures and well-known function to be able to crosslink F-actin and microtubules. MACF1 is one versatile spectraplakin with various functions in cell processes, embryo development, tissue-specific functions, and human diseases. The importance of MACF1 has become more apparent in recent years. Here, we summarize the current knowledge on the presence and function of MACF1 and provide perspectives on future research of MACF1 based on our studies and others. [BMB Reports 2016; 49(1): 37-44]

SOME FRACTIONAL INTEGRAL FORMULAS INVOLVING THE PRODUCT OF CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Kim, Yongsup
    • 호남수학학술지
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    • 제39권3호
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    • pp.443-451
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    • 2017
  • Very recently, Agarwal gave remakably a scads of fractional integral formulas involving various special functions. Using the same technique, we obtain certain(presumably) new fractional integral formulas involving the product of confluent hypergeometric functions. Some interesting special cases of our two main results are considered.

A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a

  • JUNG, Nam-Soon;RYOO, Cheon Seoung
    • Journal of applied mathematics & informatics
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    • 제36권5_6호
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    • pp.475-489
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    • 2018
  • In this paper, by using the polylogarithm function, we introduce a generalized poly-Bernoulli numbers and polynomials with variable a. We find several combinatorial identities and properties of the polynomials. We give some properties that is connected with the Stirling numbers of second kind. Symmetric properties can be proved by new configured special functions. We display the zeros of the generalized poly-Bernoulli polynomials with variable a and investigate their structure.

EVALUATION OF THE ZETA FUNCTIONS OF TOTALLY REAL NUMBER FIELDS AND ITS APPLICATION

  • Lee, Jun Ho
    • East Asian mathematical journal
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    • 제35권1호
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    • pp.85-90
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    • 2019
  • In this paper, we are interested in the evaluation of special values of the Dedekind zeta function of a totally real number field. In particular, we revisit Siegel method for values of the zeta function of a totally real number field at negative odd integers and explain how this method is applied to the case of non-normal totally real number field. As one of its applications, we give divisibility property for the values in the special case

On Certain Integral Transforms Involving Hypergeometric Functions and Struve Function

  • Singhal, Vijay Kumar;Mukherjee, Rohit
    • Kyungpook Mathematical Journal
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    • 제56권4호
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    • pp.1169-1177
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    • 2016
  • This paper is devoted to the study of Mellin, Laplace, Euler and Whittaker transforms involving Struve function, generalized Wright function and Fox's H-function. The main results are presented in the form of four theorems. On account of the general nature of the functions involved here in, the main results obtained here yield a large number of known and new results in terms of simpler functions as their special cases. For the sake of illustration some corollaries have been recorded here as special cases of our main findings.

A Finsler space with a special metric function

  • Park, Hong-Suh;Lee, Il-Young
    • 대한수학회논문집
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    • 제11권2호
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    • pp.415-421
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    • 1996
  • In this paper, we shall find the conditions that the Finsler space with a special $(\alpha,\beta)$-metric be a Riemannian space and a Berwald space.

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Some Theorems Connecting the Unified Fractional Integral Operators and the Laplace Transform

  • Soni, R. C.;Singh, Deepika
    • Kyungpook Mathematical Journal
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    • 제45권2호
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    • pp.153-159
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    • 2005
  • In the present paper, we obtain two Theorems connecting the unified fractional integral operators and the Laplace transform. Due to the presence of a general class of polynomials, the multivariable H-function and general functions ${\theta}$ and ${\phi}$ in the kernels of our operators, a large number of (new and known) interesting results involving simpler polynomials (which are special cases of a general class of polynomials) and special functions involving one or more variables (which are particular cases of the multivariable H-function) obtained by several authors and hitherto lying scattered in the literature follow as special cases of our findings. Thus the Theorems obtained by Srivastava et al. [9] follow as simple special cases of our findings.

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KSLA 연구논문 - 박물관내 도서관 운영 현황 및 전문도서관으로의 발전 전략 (Analysis on the Library Management in Museum and Development Strategy toward Special Library)

  • 이미영
    • KSLA Bulletin
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    • 통권2호
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    • pp.28-42
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    • 2010
  • 박물관내 도서관은 인력, 예산, 조직내 인식 부족 등으로 본연의 기능을 전문적으로 수행하지 못하였다. 박물관내 도서관이 전문도서관으로서 보다 발전하기 위한 전략을 해외사례에서 찾고자 하였다. 그 결과, 관리자에서 수집가로서 사서의 역할 변화, 특성화된 컬렉션 확대, 기관 아카이브의 기능 수행, 도서관간 협력 네트워킹 구축 등을 발전전략으로 제시하였다.

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A Study of Marichev-Saigo-Maeda Fractional Integral Operators Associated with the S-Generalized Gauss Hypergeometric Function

  • Bansal, Manish Kumar;Kumar, Devendra;Jain, Rashmi
    • Kyungpook Mathematical Journal
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    • 제59권3호
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    • pp.433-443
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    • 2019
  • In this work, we evaluate the Mellin transform of the Marichev-Saigo-Maeda fractional integral operator with Appell's function $F_3$ type kernel. We then discuss six special cases of the result involving the Saigo fractional integral operator, the $Erd{\acute{e}}lyi$-Kober fractional integral operator, the Riemann-Liouville fractional integral operator and the Weyl fractional integral operator. We obtain new and known results as special cases of our main results. Finally, we obtain the images of S-generalized Gauss hypergeometric function under the operators of our study.