Results 31 to 40 of about 112,710 (299)

CERTAIN TRANSFORMATION AND SUMMATION FORMULAE FOR q-SERIES [PDF]

, 2010
In this paper, making use of certain summation formulae, an attempt has been made to establish certain new and interesting transformation and summation formulae for q ...
Singh, S.N., Denis, Remy Y., Singh, S.P.
core   +1 more source

A generalisation of the summation formula of Plana [PDF]

Bulletin of the Australian Mathematical Society, 1999
An extension of the classical summation formula of Plana is obtained. The extension is obtained by using the zeros of a Bessel function of the first kind.
openaire   +2 more sources

Duplicate form of Carlitz inversions and summation formulae [PDF]

, 2011
By applying the duplicate form of Carlitz inversions to three special cases of the q-Saalschütz theorem respectively, we establish three classes of interesting summation ...
Dianxuan Gong, Wei, Chuanan, Gong, Dianxuan, Xiaoming Fu, Fu, Xiaoming, Chuanan Wei   +5 more
core   +1 more source

Evaluation of Infinite Series by Integrals

Mathematics, 2022
We examine a large class of infinite triple series and establish a general summation formula. This is done by expressing the triple series in terms of definite integrals involving arctangent function that are evaluated in turn in closed forms.
Chunli Li, Wenchang Chu
doaj   +1 more source

Dualizing the Poisson summation formula.

Proceedings of the National Academy of Sciences, 1991
If f(x) and g(x) are a Fourier cosine transform pair, then the Poisson summation formula can be written as 2sumfrominfinityn = 1g(n) + g(0) = 2sumfrominfinityn = 1f(n) + f(0). The concepts of linear transformation theory lead to the following dual of this classical relation. Let phi(x) and gamma(x) = phi(1/x)/x have absolutely convergent integrals over
Duffin, Richard J., Weinberger, Hans F.
openaire   +4 more sources

Further summation formulae related to generalized harmonic numbers [PDF]

, 2007
By employing the univariate series expansion of classical hypergeometric series formulae, Shen [L.-C. Shen, Remarks on some integrals and series involving the Stirling numbers and ζ(n), Trans. Amer. Math. Soc.
Zheng, De-Yin
core   +1 more source

Partial Sums of Two Quartic q-Series

Symmetry, Integrability and Geometry: Methods and Applications, 2009
The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
Wenchang Chu, Chenying Wang
doaj   +1 more source

Certain families of differential equations associated with the generalized 1-parameter Hermite–Frobenius Euler polynomials

Mathematical and Computer Modelling of Dynamical Systems
This study introduces a new approach to the development of generalized 1-parameter, 2-variable Hermite–Frobenius–Euler polynomials, which are characterized by their generating functions, series definitions and summation formulae.
Mohra Zayed, Shahid Ahmad Wani, Mir Subzar, Mumtaz Riyasat   +3 more
doaj   +1 more source

A New Old Babylonian Date List with Hammurapi Year Names

Dirāsāt fī al-tārīẖ wa-al-āṯār, 2023
This paper contains the publication of a previously unknown date list of Hammurapi, the king of Babylon, with his year formulae, kept in the Sulaymaniyah Museum in Iraq. The tablet originally contained the year formulae for 42 years of Hammurapi's reign
Ardalan Khwshnaw
doaj  

Poisson Summation Formulae Associated with the Special Affine Fourier Transform and Offset Hilbert Transform [PDF]

, 2017
This paper investigates the generalized pattern of Poisson summation formulae from the special affine Fourier transform (SAFT) and offset Hilbert transform (OHT) points of view. Several novel summation formulae are derived accordingly.
Zhi-Hai Zhuo
core   +1 more source