[PDF] Top 20 Summation of series of binomial variation
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Summation of series of binomial variation
... In section 1, a discrete renewal equation will be considered and a method developed for the generation of Binomial type infinite series, by considering a similar characteristic functio[r] ... See full document
55
Efficient and Accurate Approximation of Infinite Series Summation Using Asymptotic Approximation and Fast Convergent Series
... In many electromagnetic problems, electric fields [1], magnetic fields, potentials [2], etc. are expressed in terms of infinite series that have a very slow convergence. For instance, in many multilayered planar ... See full document
13
Extensions of Certain Classical Summation Theorems for the Series 2𝐹1, 3𝐹2, and 4𝐹3 with Applications in Ramanujan's Summations
... few summation theorems are available in the literature and it is well known that the classical summation theorems such as of Gauss, Gauss’s second, Kummer, and Bailey for the ... See full document
26
On a New Summation Formula for 𝟐𝜓𝟐 Basic Bilateral Hypergeometric Series and Its Applications
... The summation formulae for hypergeometric series form a very interesting and useful component of the theory of basic hypergeometric ...the summation formulae, which can be stated ... See full document
8
Effects of series elastic compliance on muscle force summation and the rate of force rise
... role series elastic compliance plays in manipulating force generation and explore the possibility that the extent of active shortening afforded by series compliance may affect force ... See full document
10
The Summation of One Class of Infinite Series
... All of these results (and others not shown) have been confirmed by an agreement with a direct summation of each series. Figure 3 is a graphical representation S(x) vs. x/π. We note that, as expected, S(x) ... See full document
8
Summation formulas associated with a class of Dirichlet series
... to cOt~BiderEid ·~"hcir Special cases relevance In section 5 the busic ideI'.ti ty is l inked \lith a simple method 01' construct.ing a rll.ol-e-or-lea~ sufficiently t-loll-behaved fUnct[r] ... See full document
54
On 𝑞 Operators and Summation of Some 𝑞 Series
... Boyadzhiev, “A series transformation formula and related polynomials,” International Journal of Mathematics and Mathematical Sciences, no.. Shiue, “A symbolic operator approach to severa[r] ... See full document
12
New approach to the fractional derivatives
... Taylor series of the ...a summation of divergent series, and thus, in this note, we first introduce a method of such summation of series via analytical continuation of ... See full document
11
Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
... finite series involving binomial coefficients, harmonic numbers and generalized harmonic numbers by applying the usual differential operator to a known ... See full document
11
SERIES REPRESENTATION OF POWER FUNCTION
... We can observe that summation of n-th row of Triangle (2.1) over k from 0 to n − 1 returns us the n 2 . It’s very easy to see that removing n 1 from each item k, such that 0 < k < n of Triangle (2.1) and ... See full document
19
Series Representation of Power Function
... by Binomial theorem or MacMillan Double Bino- mial sum, the summation ...that summation is taken over k from 0 to x, where x - variable, provided that ... See full document
15
Euler related Binomial sums
... Key words : Binomial coefficients; harmonic numbers; combinatorial series identities; summation formulas; partial fraction approach... Nimbran claims S 10 is difficult to evaluate and fi[r] ... See full document
12
Euler-related sums
... the summation of harmonic numbers and binomial coefficients has also been done by Sofo ...of binomial sums and zeta functions in a simpler form by the use of the beta func- tion and by means of certain ... See full document
7
Evaluating Multiple Integrals Using Maple
... Abstract This paper uses the mathematical software Maple for the auxiliary tool to study two types of multiple integrals. We can obtain the infinite series forms of these two types of multiple integrals by using ... See full document
7
On A 3 Points Inflated Power Series Distributions Characterizations
... power series distributions in Section 2 along with some of its characteristics properties, we considered characterization of the 3-points inflated of the four well-known discrete distributions; namely, the ... See full document
10
Binomial Hadamard Series and Inequalities over the Spectra of a Strongly Regular Graph
... damard series from the one used on the publication [9] but we use a algebraic method similar to the method that was used in the paper ...the binomial Hadamard series ... See full document
17
International Journal of Computer Science and Mobile Computing
... © 2013, IJCSMC All Rights Reserved 141 Regarding the differential problem of the two types of functions in this study, we provide some examples and use Theorems 1, 2 to determine the infinite series forms of their ... See full document
9
Evaluating the Derivatives of Some Functions Using Maple
... In the following, for the differential problem of the two types of functions in this study, we propose two examples and use Theorems 1, 2 to determine the infinite series forms of any order derivatives and some ... See full document
7
Studying the Problems of Multiple Integrals with Maple
... For the multiple integral problems discussed in this paper, we propose two examples and use Theorems 1 and 2 to obtain their infinite series forms. Moreover, Maple is used to calculate the approximations of some ... See full document
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