<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present paper, we establish some compositions formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with <italic>k</italic>-Struve function 
<inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_amns.2020.2.00064_ieq_001.png"></inline-graphic><math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msubsup><mi>S</mi><mrow><mi>ν</mi><mo>,</mo><mi>c</mi></mrow><mi>k</mi></msubsup></mrow></math><tex-math>S_{\nu ,c}^k</tex-math></alternatives></inline-formula>
 as of the kernel. The results are presented in terms of generalized <italic>k</italic>-Wright function 
<inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_amns.2020.2.00064_ieq_002.png"></inline-graphic><math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow></mrow><mi>p</mi></msub><msubsup><mo>Ψ</mo><mi>q</mi><mi>k</mi></msubsup></mrow></math><tex-math>_p\Psi _q^k</tex-math></alternatives></inline-formula>
.</p></abstract>

In the present paper, we establish some compositions formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with k-Struve function 
Sν,ckS_{\nu ,c}^k
 as of the kernel. The results are presented in terms of generalized k-Wright function 
pΨqk_p\Psi _q^k
.

The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the Generalized <italic>K</italic>-Struve Function

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the Generalized -Struve Function

In the present paper, we establish some compositions formulas for Marichev-Saigo-Maeda (MSM) fractional calculus operators with k-Struve function 
Sν,ckS_{\nu...

The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the Generalized K-Struve Function

Published Online: Dec 30, 2020

Page range: 593 - 602

Received: Sep 20, 2019

Accepted: Nov 11, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00064

Keywords
Generalized -Struve function, Marichev-Saigo-Maeda fractional calculus operators, Generalized -Wright function, Pochhammer symbol, -Gamma function

© 2020 Seema Kabra et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

The Marichev-Saigo-Maeda Fractional Calculus Operators Pertaining to the Generalized K-Struve Function

Published Online: Dec 30, 2020

Page range: 593 - 602

Received: Sep 20, 2019

Accepted: Nov 11, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00064

KeywordsGeneralized -Struve function, Marichev-Saigo-Maeda fractional calculus operators, Generalized -Wright function, Pochhammer symbol, -Gamma function

© 2020 Seema Kabra et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Generalized -Struve function, Marichev-Saigo-Maeda fractional calculus operators, Generalized -Wright function, Pochhammer symbol, -Gamma function