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손재현 한국일본학회 2009 日本學報 Vol.79 No.-
This paper compares the pitch accent of the Tokyo dialect (the standard language) of Japanese and that of Pusan dialect in Korean. In the present paper, evidence for this interpretation will be given, along with the structure of the Pusan dialect accent and a comparison with it and that of Tokyo. Looking Tokyo dialect, it has two oppositions for one-mora words, three oppositions for two-mora words, and so on. It can be represented as Pn=n+1, where ‘Pn’ represent the number of Prosodemes for the accentual unit ‘n’. In the Tokyo accent type, there are n-kernel positions, plus a kernel less type (indicated with an = sign; the ⓪ sign indicates zero-accent), for a total of n+1. Pitch is regarded as ‘movement’, and this is what is indicated; this is quite different from the ‘stepped’ view of accents in which the ‘static condition’ resulting from movement is indicated. In addition, the rise after the initial mora of a phrase, shown by {○[○-} (‘[’ indicates pitch-rise), occurs only before a kernel; single-mora words and words with the kernel at the beginning appear as {[○-}. Also, in this paper, I will discuss on the details of Pusan dialect in Gyeongsangnam-do of Korea, and report on data obtained during field work there. The aim is to propose a phonological interpretation of the accentual system of Pusan dialect, from renewed angles and also provide a comprehensive analysis of previous literature on them based on the author's research. Conversely speaking, Pusan dialect has three oppositions for one-syllable words, four oppositions for two-syllable and three-syllable words, and so on. It can be represented as ‘n+1’ more than two syllable as same as Tokyo accent type. Lastly, in this paper, including accent type of Tokyo and Pusan dialects, will be explained in detail and various particle are described with special emphasis on the tonal patterns and the internal mechanisms.
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MONOTONICITY PROPERTIES OF THE BESSEL-STRUVE KERNEL
Baricz, Arpad,Mondal, Saiful R.,Swaminathan, Anbhu Korean Mathematical Society 2016 대한수학회보 Vol.53 No.6
In this paper our aim is to study the classical Bessel-Struve kernel. Monotonicity and log-convexity properties for the Bessel-Struve kernel, and the ratio of the Bessel-Struve kernel and the Kummer confluent hypergeometric function are investigated. Moreover, lower and upper bounds are given for the Bessel-Struve kernel in terms of the exponential function and some $Tur{\acute{a}}n$ type inequalities are deduced.
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Huoxiong Wu 대한수학회 2009 대한수학회지 Vol.46 No.3
In this paper, the author studies the k-th commutators of oscillatory singular integral operators with a BMO function and phases more general than polynomials. For 1<p<∞, the L^p-boundedness of such operators are obtained provided their kernels belong to the spaces L((log^+)L)^{k+1}(S^{n-1}). The results of the corresponding maximal operators are also established. In this paper, the author studies the k-th commutators of oscillatory singular integral operators with a BMO function and phases more general than polynomials. For 1<p<∞, the L^p-boundedness of such operators are obtained provided their kernels belong to the spaces L((log^+)L)^{k+1}(S^{n-1}). The results of the corresponding maximal operators are also established.
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On generalized extended beta and hypergeometric functions
Subrat Parida 호남수학회 2024 호남수학학술지 Vol.46 No.2
In the current study, our aim is to define new generalized extended beta and hypergeometric types of functions. Next, we methodically determine several integral representations, Mellin transforms, summation formulas, and recurrence relations. Moreover, we provide log-convexity, Turán type inequality for the generalized extended beta function and differentiation formulas, transformation formulas, differential and difference relations for the generalized extended hypergeometric type functions. Also, we additionally suggest a generating function. Further, we provide the generalized extended beta distribution by making use of the generalized extended beta function as an application to statistics and obtaining variance, coefficient of variation, moment generating function, characteristic function, cumulative distribution function, and cumulative distribution function's complement.
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