scholarly journals Some hypergeometric summations formulas and series identities with applications

2021 ◽  
Vol 13(62) (2) ◽  
pp. 561-570
Author(s):  
R. Gupta ◽  
M. Menon ◽  
E. Mittal
Keyword(s):  
Double Series

In the paper we present two incomplete Gaussian hypergeometric formulas in summation form by specific known formulas.We also developed each of these formulas and how they use to derive double series identities in general forms.

On the Convergence of Alternating Double Series

1953 ◽  
Vol 60 (6) ◽  
pp. 402 ◽  
Author(s):  
Burnett Meyer
Keyword(s):  
Double Series

Hilbert's Double Series Theorem and Principal Latent Roots of the Resulting Matrix

1949 ◽  
Vol 3 (26) ◽  
pp. 399
Author(s):  
R. A. Fairthorne ◽  
J. C. P. Miller
Keyword(s):  
Double Series ◽  
Latent Roots

scholarly journals Series representation of the pricing formula for the European option driven by space-time fractional diffusion

2018 ◽  
Vol 21 (4) ◽  
pp. 981-1004 ◽  
Author(s):  
Jean-Philippe Aguilar ◽  
Cyril Coste ◽  
Jan Korbel
Keyword(s):  
Asset Price ◽  
Series Representation ◽  
Option Price ◽  
Double Series ◽  
Fractional Diffusion ◽  
Space Time ◽  
Esscher Transform ◽  
European Option ◽  
Underlying Asset ◽  
European Call Option

Abstract In this paper, we show that the price of an European call option, whose underlying asset price is driven by the space-time fractional diffusion, can be expressed in terms of rapidly convergent double-series. This series formula is obtained from the Mellin-Barnes representation of the option price with help of residue summation in ℂ2. We also derive the series representation for the associated risk-neutral factors, obtained by Esscher transform of the space-time fractional Green functions.

scholarly journals Disparity in Human Rights Violations: A Political and International Law Perspective

2016 ◽  
Vol 2 (3) ◽  
pp. 349
Author(s):  
Aidir Amin Daud
Keyword(s):  
Human Rights ◽  
International Law ◽  
Rational Solution ◽  
Double Series ◽  
Mass Murder ◽  
The State ◽  
Human Rights Violations ◽  
Natural Right ◽  
International Court ◽  
Political Interests

Right to life is non-derogable rights. A natural right that should not be revoked arbitrarily by anyone, including the state. A mass murder in events 1 October 1965 and Timor-Timor is a double series of states’ failure in protecting the rights of Indonesian peoples. Moreover, these two events get different treatment in its handling. The disparity in treatment between two cases is a big question related to the consistency of human rights enforcement in Indonesia. This study is a descriptive-qualitative research. While, to prove the truth, this study will use a comparative study. The findings show that the attitude of the United Nations that treat serious human rights violations in Timor-Timor and the events of 1965 in Indonesia, cannot be answered differently in the perspective of international law. Since it has a weakness where the political interests of ruling is very strong in influencing the decisions of the UN. The disparity in law enforcement in the event of serious human rights violations in 1965 and Timor-Timor due to the dynamics of international politics when it does not allow for the demands of human rights violations to the UNs’ International Court due to advantage for a certain state after the event. In order to reduce disparities in human rights violations, reconciliation is the most rational solution at this time compared remains demand the state for the violations. Besides, many human rights violations in certain countries that have successfully resolved through reconciliation approach.

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