first kind Bessel functions
On Integral Representation of First Kind Bessel Function
... special functions, the most exhaustive collection of 396 formulæ involving first kind Bessel functions the authors find on the widely known website ...of Bessel function of the ...
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A note on Bessel function dual integral equation with weight function
... integral equations involving first kind Bessel functions of different orders and a particular weight function to dual integral equations with trigonometric sine function as kernels in cl[r] ...
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Monotonicity of the ratio of modified Bessel functions of the first kind with applications
... Yang, Zh-H., Zheng, Sh-Zh.: Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications.. Thiruvenkatachar, V.R., Nanjundiah, T.S.: Inequalities c[r] ...
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Hankel's Transform and Rieman's Hypothesis
... the kind (1) is based on the integral representation of Laguerre’s polynomials by means of Bessel’s functions of first kind [1, ...entire functions F of exponential type introduced in ...
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Inequalities for Tricomi functions
... special functions ap- pear in the literature of many ...special functions in [2–5, 7, 16, 19– 21, ...of Bessel functions of the first kind are important in several problems of ...
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On some Turán type inequalities
... where Jν x and Yν x denote the Bessel functions of the first and the second kind, re , ν ≥ 0, k = 1,2,..., spectively, while the corresponding results for the positive zeros cνk of the [r] ...
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Unified integrals associated with generalized Bessel functions and Struve functions
... Integral formulas involving generalized Bessel and Struve functions of the first kind are expressed in term of generalized Wright function and generalized hypergeometric series.. Many sp[r] ...
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The logarithmic concavity of modified Bessel functions of the first kind and its related functions
... This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties. ...
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Neumann Functions and Its Application for Finding The Solution to the Schrödinger’s equation in a Cylindrical Well
... Bessel functions of the first and second kind are the most commonly found forms of the Bessel function in applications. Many applications in hydrodynamics, pumps, turbines, hydropower, ...
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Christoffel functions with power type weights
... line, Bessel functions of the first kind enter the picture [7], [9], ...the Bessel function J (α+1)/2 , and from points that are obtained from ...
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Product Bessel Distributions of the First and Second Kinds
... Univariate Bessel function distributions have been used to model signal output processed by a radar receiver under various sets of conditions (see, ...univariate Bessel function distributions. Bessel ...
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The general chain transform and self reciprocal functions
... Parseval theorem, kernel functions, L2-space, self-reciprocal functions, gamma ]’unction, Riemann-Zeta function, Bessel functions, Whittaker functions.. The standard and the simplest def[r] ...
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Integrated MFCC-FBCC features for dialect Identification in Malayalam language
... In speech signal, dialect specific information is embedded in different levels, segmental, sub segmental and supra segmental[1]. In segmental level, dialectal informations are obtained from the spectral envelope which ...
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A New Narrowband Phase Modulation Mathematical Identity
... Equations (4), (12), (16) and (23) that describe narrow band phase modulation is presented. The proposed iden- tity can also be used for similar physical phenomena’s that use the Bessel function. The mathematical ...
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Differential equation and inequalities of the generalized k Bessel functions
... for all k > 0, calling it the Pochhammer k-symbol. Closely associated functions that have relation with the Pochhammer symbols are the gamma and beta functions. Hence it is use- ful to recall some facts ...
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The mobile Boolean model: an overview and further results
... the first time that a general mobile Boolean model will detect a fixed compact set ...the first hitting time of a set by the process x + ξ(t) representing the random motion of a sensing device initially ...
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Orthogonal Rational Functions, Associated Rational Functions And Functions Of The Second Kind
... tion with j poles outside S that is orthogonal with respect to a positive measure µ on S. Under certain conditions on the poles, these ORFs do satisfy a three-term recurrence relation as well. Consequently, associated ...
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On Solutions of a System of Wiener-Hopf Integral Equations
... Proof. For part (a), we take a contour that encloses the spectrum of G but does not enclose zero. For part (b), sup- pose, λ(x) and µ(x), respectively, represent the largest and the smallest eigenvalues of G(x). The ...
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Inclusion relations for Bessel functions for domains bounded by conical domains
... g (z) ≺ Q k,η (z) for some g(z) ∈ k-UCV(β) ( ≤ β < ). (.) We note that UCC (, η, β) is the class of close to convex univalent functions of order η and type β and UQC(, η, β) is the class of quasi-convex ...
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Barnes type Daehee of the first kind and poly Cauchy of the first kind mixed type polynomials
... In this paper, by considering Barnes-type Daehee polynomials of the first kind as well as poly-Cauchy polynomials of the first kind, we define and investigate the mixed-type poly- nomials of these polynomials. ...
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