• Title/Summary/Keyword: Special function

Search Result 1,382, Processing Time 0.027 seconds

THE COMPOSITION OF HURWITZ-LERCH ZETA FUNCTION WITH PATHWAY INTEGRAL OPERATOR

  • Jangid, Nirmal Kumar;Joshi, Sunil;Purohit, Sunil Dutt;Suthar, Daya Lal
    • Communications of the Korean Mathematical Society
    • /
    • v.36 no.2
    • /
    • pp.267-276
    • /
    • 2021
  • The aim of the present investigation is to establish the composition formulas for the pathway fractional integral operator connected with Hurwitz-Lerch zeta function and extended Wright-Bessel function. Some interesting special cases have also been discussed.

A Study on the Characteristics of the Information Center for Invigorating Regional Products - Focused on the experiential marketing - (지역 특산물 활성을 위한 홍보관 특성에 관한 연구 - 체험 마케팅을 중심으로 -)

  • Han, Jin-Ju;Han, Hae-Ryon
    • Korean Institute of Interior Design Journal
    • /
    • v.21 no.2
    • /
    • pp.133-140
    • /
    • 2012
  • Our government finally understood the true meaning of this wisdom and is attempting to revive the rural area by establishing local produce exhibition hall. This is to allow different regions to promote their specialties and provide diverse experience to the public. However, the reality is that unstructured marketing and PR is not achieving much. Marketing in the past was a paradigm of function and benefit. As we passed 20th century, this was challenged, leading to experiential marketing. Customers' cultural urge and interest in experience and participation are getting stronger. With the facilitation of Promotion Center for local special products, local special products and relevant local communities will be promoted, and the distribution business will grow further. This research was performed to establish basic research materials for planning information center in order to invigorate regional products. This study brought about the following results: first, the Promotion Center for local special products can acquire emotional elements by associating the elements with local special products; secondly, the Promotion Center for local special products can acquire cognitive elements by harmonizing local communities' unique identities with their own other special products; thirdly, the Promotion Center for local special products can acquire behavioral elements by enjoying various experiences and events; fourthly, the Promotion Center for local special products can acquire relational elements by integrating other new spaces.

  • PDF

A proposal of spirometry reference equations for Korean workers

  • Yonglim Won;Hwa-Yeon Lee
    • Annals of Occupational and Environmental Medicine
    • /
    • v.34
    • /
    • pp.14.1-14.14
    • /
    • 2022
  • Background: Although spirometry results can be interpreted differently depending on the reference equation used, there are no established criteria for selecting reference equations as part of the special health examinations for Korean workers. Thus, it is essential to examine the current use of reference equations in Korea, quantify their impact on result interpretation, and propose reference equations suitable for Korean workers, while also considering the environmental conditions of special health examination facilities. Methods: The 213,640 results from the special health examination database were analyzed to identify changes in the ratio of measured values to reference values of lung capacity in Korean workers with changes in age or height, and changes in the agreement of interpretations with the reference equation used. Data from 238 organizations that participated in the 2018-2019 quality control assessment by the Korea Occupational Safety and Health Agency were used to identify the spirometer model and reference equations used in each special health examination facility. Results: Korean special health examination facilities used six reference equations, and the rate of normal or abnormal ventilatory diagnoses varied with the reference equation used. The prediction curve of the Global Lung Function Initiative 2012-Northeast Asian (GLI2012) equation most resembled that of the normal group, but the spirometry model most commonly used by examination facilities was not compliant with the GLI2012 equation. With a scaling factor of 0.95 applied to the Dr. Choi equation, the agreement with the GLI2012 equation was > 0.81 for men and women. Conclusions: We propose the GLI2012 equation as reference equation for spirometry in Korean workers. The GLI2012 equation exhibited the most suitable prediction curve against the normal lung function group. For devices that cannot use the GLI2012 equation, we recommend applying a scaling factor of 0.95 to the Dr. Choi equation.

ON GENERALIZED ZERO-DIFFERENCE BALANCED FUNCTIONS

  • Jiang, Lin;Liao, Qunying
    • Communications of the Korean Mathematical Society
    • /
    • v.31 no.1
    • /
    • pp.41-52
    • /
    • 2016
  • In the present paper, by generalizing the definition of the zero-difference balanced (ZDB) function to be the G-ZDB function, several classes of G-ZDB functions are constructed based on properties of cyclotomic numbers. Furthermore, some special constant composition codes are obtained directly from G-ZDB functions.

EXTENDED JACOBIN ELLIPTIC FUNCTION METHOD AND ITS APPLICATIONS

  • Chen, Huaitang;Zhang, Hongqing
    • Journal of applied mathematics & informatics
    • /
    • v.10 no.1_2
    • /
    • pp.119-130
    • /
    • 2002
  • An extended Jacobin elliptic function method is presented for constructing exact travelling wave solutions of nonlinear partial differential equations(PDEs) in a unified way. The main idea of this method is to take full advantage of the elliptic equation that Jacobin elliptic functions satisfy and use its solutions to replace Jacobin elliptic functions in Jacobin elliptic function method. It is interesting that many other methods are special cases of our method. Some illustrative equations are investigated by this means.

A NOTE ON THE GENERALIZED BERNOULLI POLYNOMIALS WITH (p, q)-POLYLOGARITHM FUNCTION

  • JUNG, N.S.
    • Journal of applied mathematics & informatics
    • /
    • v.38 no.1_2
    • /
    • pp.145-157
    • /
    • 2020
  • In this article, we define a generating function of the generalized (p, q)-poly-Bernoulli polynomials with variable a by using the polylogarithm function. From the definition, we derive some properties that is concerned with other numbers and polynomials. Furthermore, we construct a special functions and give some symmetric identities involving the generalized (p, q)-poly-Bernoulli polynomials and power sums of the first integers.

SOME PROPERTIES OF GENERALIZED HYPERGEOMETRIC FUNCTION

  • Rao, Snehal B.;Patel, Amit D.;Prajapati, Jyotindra C.;Shukla, Ajay K.
    • Communications of the Korean Mathematical Society
    • /
    • v.28 no.2
    • /
    • pp.303-317
    • /
    • 2013
  • In present paper, we obtain functions $R_t(c,{\nu},a,b)$ and $R_t(c,-{\mu},a,b)$ by using generalized hypergeometric function. A recurrence relation, integral representation of the generalized hypergeometric function $_2R_1(a,b;c;{\tau};z)$ and some special cases have also been discussed.

ON CERTAIN REDUCIBILITY OF KAMPE DE FERIET FUNCTION

  • Kim, Yong-Sup
    • Honam Mathematical Journal
    • /
    • v.31 no.2
    • /
    • pp.167-176
    • /
    • 2009
  • The aim of this paper is to obtain three interesting results for reducibility of Kamp$\'{e}$ de $\'{e}$riet function. The results are derived with the help of contiguous Gauss's second summation formulas obtained earlier by Lavoie et al. The results obtained by Bailey, Rathie and Nagar follow special cases of our main findings.

Notes on the Ratio and the Right-Tail Probability in a Log-Laplace Distribution

  • Woo, Jung-Soo
    • Journal of the Korean Data and Information Science Society
    • /
    • v.18 no.4
    • /
    • pp.1171-1177
    • /
    • 2007
  • We consider estimation of the right-tail probability in a log-Laplace random variable, As we derive the density of ratio of two independent log-Laplace random variables, the k-th moment of the ratio is represented by a special mathematical function. and hence variance of the ratio can be represented by a psi-function.

  • PDF

ON FRACTIONAL PROGRAMMING CONTAINING SUPPORT FUNCTIONS

  • HUSAIN I.;JABEEN Z.
    • Journal of applied mathematics & informatics
    • /
    • v.18 no.1_2
    • /
    • pp.361-376
    • /
    • 2005
  • Optimality conditions are derived for a nonlinear fractional program in which a support function appears in the numerator and denominator of the objective function as well as in each constraint function. As an application of these optimality conditions, a dual to this program is formulated and various duality results are established under generalized convexity. Several known results are deduced as special cases.