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REMARK ON A SUMMATION FORMULA FOR THE SERIES 4F3(1)
최준상,Yashoverdhan Vyas,Arjun K. Rathie 영남수학회 2017 East Asian mathematical journal Vol.33 No.5
We aim to prove a known summation formula for the series 4F3(1) by mainly using a similar method as in [2], which is different from that in [3]. The method of proof here as well as that in [2] is potentially useful in getting some other summation formulas for pFq.
ON A NEW CLASS OF INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION 3F2
김인숙,Shantha Kumari. K.,Yashoverdhan Vyas 호남수학회 2018 호남수학학술지 Vol.40 No.1
The main aim of this research paper is to evaluate thegeneral integral of the formZ 10xc 1(1 x)c+` [1 + x + (1 x)] 2c ` 13F2 a; b; 2c + ` + 112 (a + b + i + 1); 2c + j;(1 + )x1 + x + (1 x) dxin the most general form for any ` 2 Z; and i; j = 0; 1; 2. The re-sults are established with the help of generalized Watson's summa-tion theorem due to Lavoie, et al. Fifty interesting general integralshave also been obtained as special cases of our main ndings. The main aim of this research paper is to evaluate thegeneral integral of the formZ 10xc 1(1 x)c+` [1 + x + (1 x)] 2c ` 13F2 a; b; 2c + ` + 112 (a + b + i + 1); 2c + j;(1 + )x1 + x + (1 x) dxin the most general form for any ` 2 Z; and i; j = 0; 1; 2. The re-sults are established with the help of generalized Watson's summa-tion theorem due to Lavoie, et al. Fifty interesting general integralshave also been obtained as special cases of our main ndings.
REMARK ON A SUMMATION FORMULA FOR THE SERIES <sub>4</sub>F<sub>3</sub>(1)
Choi, Junesang,Vyas, Yashoverdhan,Rathie, Arjun K. The Youngnam Mathematical Society 2017 East Asian mathematical journal Vol.33 No.5
We aim to prove a known summation formula for the series $_4F_3(1)$ by mainly using a similar method as in [2], which is different from that in [3]. The method of proof here as well as that in [2] is potentially useful in getting some other summation formulas for $_pF_q$.
ON A NEW CLASS OF INTEGRALS INVOLVING GENERALIZED HYPERGEOMETRIC FUNCTION <sub>3</sub>F<sub>2</sub>
( Insuk Kim ),( Shantha Kumari. K. ),( Yashoverdhan Vyas ) 호남수학회 2018 호남수학학술지 Vol.40 No.1
The main aim of this research paper is to evaluate the general integral of the form in the most general form for any ℓ□ Z; and i, j = 0, ±1, ±2. The re- sults are established with the help of generalized Watson's summa- tion theorem due to Lavoie, et al. Fifty interesting general integrals have also been obtained as special cases of our main findings.