summation formulas
On a new class of summation formulas involving the generalized hypergeometric F22 polynomial
... Gauss’ summation theorem, Kummer’s summation theorem, and its contiguous results, we establish three new and in- teresting summation formulas for the generalized hypergeometric F ...
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Some circular summation formulas for theta functions
... general formulas for theta functions (see []), but from one main result, Theorem of Liu, we do not deduce our results in the present ...circular summation formulas of theta functions and find more ...
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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] ...
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Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
... MSC: Primary 11M06; 33B15; 33E20; secondary 11M35; 11M41; 40C15 Keywords: harmonic numbers; generalized harmonic numbers; Riemann zeta function; Hurwitz zeta function; Stirling numbers o[r] ...
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Circular summation formulas for theta function ϑ4(z|τ)
... circular summation. The appellation of ‘circular summation’ is due to Son (see [, ...circular summation) For each positive integer n and |ab| < ...
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Download PDF
... derive summation formulas of q- Hermite-Fubini numbers and polynomials and some relationships between q-Bernoulli polynomials, q-Euler polynomials and q-Genocchi polynomials and Stirling numbers of the ...
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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] ...
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Search | Preprints
... derive summation formulas of degenerate Hermite-Fubini numbers and polynomials and we construct a symmetric identities of degenerate Hermite-Fubini numbers and polynomials by using generating ...
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8. Finite Number Sums in Higher Order Powers of Harmonic Numbers
... Harmonic numbers, Binomial coefficients and Gamma function, PolyGamma function, Combinatorial series identities and summation formulas, Partial fraction approach1. 2013 Universiteti i Pr[r] ...
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A NEW GENERALIZATION OF FIBONACCI AND LUCAS TYPE SEDENIONS
... In our present research, we have de…ned and examined systematically q Fibonacci sedenions and q Lucas sedenions which are de…ned by means of the q integer. We have obtained several quirky properties of q Fibonacci ...
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Contiguous Extensions of Dixon's Theorem on the Sum of a
... Here, in order to present the five exceptional formulas not given by Lavoie et al. 3, equation 2, page 268, we will first give further extension tables, as in Lemma 1.1, of the generalized formulas of the ...
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Search | Preprints
... Binet’s formulas, generating functions, and the summation formulas for generalized Pentanacci numbers, and as special cases, we investigate Pentanacci and Pentanacci-Lucas numbers with their ...
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Jn Formulas and Groups
... when the scribe (writing horizontally) started the second column or that the writing was vertical, first the column at the left, then the column(s) to the right. It may well be that[r] ...
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Hypoallergenic Infant Formulas
... Extensively hydrolyzed and free amino acid-based formulas have been subjected to such studies and are hypoallergenic. Currently available, partially hydro- lyzed formulas are not hypoallergenic. Carefully ...
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Woman Rights in Formulas
... ¼ ii ½ fookg lEcU/kh vf/kdkj & ml lekt esa Lo;aoj ds mYys[k feyrs gSa ftlesa fL=;ksa }kjk fookg ds lEcU/k esa fu.kZ; ysus ds vf/kdkj dh iqf’V gksrh gSA xkSre rFkk fo’.kq /keZlw= ds [r] ...
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New approach to the fractional derivatives
... the summation of series is considered; more precisely, summation of “divergent” series and a method of fractional ...of summation is in- troduced, which considers a large class of ...
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Binocular summation revisited: beyond √2
... The human visual system pools information across the two eyes to create a single stable representation of the world. At low contrasts near the limit of detectability, sensitivity to variations in luminance is improved by ...
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Towards a System for Dynamic Language Resources in LOD
... elementary formulas within the ...the formulas are chosen in such a way that each path from the root of the tree to some of its leaves determines exactly one graph in the initial set of ...
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Algorithms & Formulas pdf
... Controls button control combobox edit control imagelist control listbox control listview control menu other controls property sheet rich edit control static control status bar toolbar tr[r] ...
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Area summation of first- and second-order modulations of luminance
... spatial summation found here is closely related to the eye-invariant spatial summation found at detection threshold (Meese & Summers, 2009) and above (Meese & Baker, 2011; ...binocular ...
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