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[PDF] Top 20 Inequalities for the Modified k-Bessel Function

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Inequalities for the Modified k-Bessel Function

Inequalities for the Modified k-Bessel Function

... generalized k-Bessel functions and represents it as Wright func- ...orders k- Bessel functions, and the ratio of the k-Bessel and the k-Bessel ...the ... See full document

6

Differential equation and inequalities of the generalized k Bessel functions

Differential equation and inequalities of the generalized k Bessel functions

... W k ν,c . More importantly, the function W k ν,c is shown to be a solution of a certain differential equa- tion of second order, which contains ...case k = 1 and for particular values of ... See full document

14

Certain inequalities involving the k Struve function

Certain inequalities involving the k Struve function

... where the equality occurs only when x = ±. Recently, many researchers have applied the above classical inequality () in various polynomials and functions such as ultraspheri- cal polynomials, Laguerre polynomials, ... See full document

8

Certain inequalities for the modified Bessel type function

Certain inequalities for the modified Bessel type function

... The inequalities obtained are closely related to the generalized Hurwitz–Lerch zeta function and complementary incomplete gamma ...useful inequalities for the modified Bessel function of ... See full document

15

A Study of Unified Finite Integrals Involving Generalized Modified Bessel Function of Third Kind, (λŋµ,ʋ) General Class of Polynomials and the Multivariable Gimel-Function

A Study of Unified Finite Integrals Involving Generalized Modified Bessel Function of Third Kind, (λŋµ,ʋ) General Class of Polynomials and the Multivariable Gimel-Function

... Meijer’s function by taking by taking , , into Jacobi polynomial into Jacobi polynomial see Srivastava and Singh [12] and the see Srivastava and Singh [12] and the multivariable Gimel -function into ... See full document

7

On approximating the modified Bessel function of the first kind and Toader Qi mean

On approximating the modified Bessel function of the first kind and Toader Qi mean

... It follows from Lemma  of [] that the function [cosh(pt)] /(p  ) is strictly decreasing with respect to p ∈ (, ∞) for any fixed t > , hence we only need to prove that inequality (.) holds for all t ... See full document

21

ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION

ADDITION THEOREM AND CERTAIN PROPERTIES OF k-BESSEL FUNCTION

... ticularly, Bessel functions and modified Bessel functions, are central to the electromagnetic wave transmission, analysis of microwave and optical transmission in waveguides, includ- ing coaxial and ... See full document

7

On bounds for solutions of monotonic first order difference differential systems

On bounds for solutions of monotonic first order difference differential systems

... Further iterations are possible and this gives a convergent sequence of upper and lower bounds under the conditions of Theorems 5 and 6 and provided that Perron- Kreuser theorem holds (which implies that the recurrence ... See full document

17

On approximating the modified Bessel function of the second kind

On approximating the modified Bessel function of the second kind

... Author details 1 School of Mathematics and Computation Sciences, Hunan City University, Yiyang, 413000, China.. 2 Customer Service Center, State Grid Zhejiang Electric Power Research Ins[r] ... See full document

8

Some Inequalities for Modified Bessel Functions

Some Inequalities for Modified Bessel Functions

... In Figure 1 we report the graphics of the functions Iν t/Iν−1 t solid line and the respective lower bounds fν t short dashed line and gν t long dashed line on the interval 100, 600.. See[r] ... See full document

10

Inequalities for Tricomi functions

Inequalities for Tricomi functions

... the inequalities of Tricomi functions by using inequalities for the hypergeometric functions under certain additional con- ditions in section ...two-sided inequalities for the modified ... See full document

5

Inequalities on an extended Bessel function

Inequalities on an extended Bessel function

... of Bessel, modified Bessel, spherical Bessel, and modified spherical Bessel ...the Bessel function of the first kind of order p when b = c = 1, and the modified Bessel ... See full document

22

Hermite Hadamard type inequalities for the generalized k fractional integral operators

Hermite Hadamard type inequalities for the generalized k fractional integral operators

... We recall the following generalized fractional integral operators (see, e.g., [], Sec- tion .). Let g : [a, b] −→ R (–∞ ≤ a < b ≤ ∞) be an increasing and positive function having a continuous derivative g ... See full document

17

Reverses of the CBS Integral Inequality in Hilbert Spaces and Related Results

Reverses of the CBS Integral Inequality in Hilbert Spaces and Related Results

... CBS inequalities that have been obtained previously when Ω was a compact interval in R ...these inequalities do not depend on the domain Ω and therefore all the results can be translated for the more ... See full document

10

K Bessel functions in two variables

K Bessel functions in two variables

... 4. K -Bessel ...the K-Bessel function in the previous basis (J-functions) of the Bessel ...the k-Bessel function can be defined ... See full document

8

Convexity Properties and Inequalities Concerning the (p,k)-Gamma function

Convexity Properties and Inequalities Concerning the (p,k)-Gamma function

... differentiable function. Then f is a geometrically convex function if and only if the function xf f(x) 0 (x) is ...differentiable function. Then f is a geometrically convex function if ... See full document

10

On a $k$-extension of the Nielsen&#039;s $\beta$-Function

On a $k$-extension of the Nielsen's $\beta$-Function

... this function can also be found in ...a k–extension of the function. The paper is motivated by the k–digamma function introduced by D´ıaz and Pariguan ... See full document

11

K Bessel functions associated to a 3 rank Jordan algebra

K Bessel functions associated to a 3 rank Jordan algebra

... the Bessel-Muirhead system in general rank remains an open ...one-variable Bessel functions. On the other hand, the K -Bessel function of matrix argument was de- fined earlier in Herz’s ... See full document

8

The mobile Boolean model: an overview and further results

The mobile Boolean model: an overview and further results

... − K = { x − y : x ∈ D, y ∈ K } by vectors ...− K. The set swept by the particle up to time t can be called the (D − K)-sausage of ξ up to time ... See full document

19

Physics of unstable nuclei: from structure to sequential decays

Physics of unstable nuclei: from structure to sequential decays

... . (13) The phase space volume is an important factor in a re- action rate; at low energies it leads to a power law Γ (E) ∝ E β , see also Refs. [6, 8]. Let us examine the value of the scaling parameter β for di ff erent ... See full document

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