References

• Albayrak D. and Dernek N., On some generalized integral transforms and Parseval-Goldstein type relations, Hacet. J. Math. Stat., 50(2):526-540, 2021. google scholar
• Albayrak D., Some Parseval-Goldstein type theorems for generalized integral transforms, Math. Sci. Appl. E-Notes, 12(2):81-92, 2024, DOI: https://doi.org/10.36753/mathenot.1362335. google scholar
• Dernek N., Srivastava H. M. and Yürekli O., Parseval-Goldstein type identities involving the L4-transform and the P4-transform and their applications, Integral Transforms Spec. Funct., 18:397-408, 2007. google scholar
• Dernek N., Srivastava H. M. and Yürekli O., Some Parseval-Goldstein type identities involving the Fg,2-transform, the Fc,2-transform and the P4-transform and their applications, Appl. Math. Comput., 202:327-337, 2008. google scholar
• Erdelyi A., Magnus W., Oberhettinger F. and Tricomi F. G., Higher transcendental functions, McGraw-Hill Book Company, Vol (1), New York, 1953. google scholar
• Erdelyi A., Magnus W., Oberhettinger F. and Tricomi F. G., Higher transcendental functions, McGraw-Hill Book Company, Vol (2), New York, 1953. google scholar
• Gonzalez B. J. and Negrın E. R., Abelian theorems for distributional Kontorovich-Lebedev and Mehler-Fock transforms of general order, Banach J. Math. Anal., 13(3):524-537, 2019. google scholar
• Gonzalez B. J. and Negrın E. R., Lp -inequalities and Parseval-type relations for the Mehler-Fock transforms of general order, Ann. Funct. Anal., 8(2): 231-239, 2017. google scholar
• Gonzalez B. J. and Negrın E. R., On Operators with Complex Gaussian Kernels over Lp Spaces, Filomat, 33(9):2861-2866, 2019. google scholar
• Gonzalez B. J. and Negrın E. R., New Lp -inequalities for hyperbolic weights concerning the operators with complex Gaussian kernels, Banach J. Math. Anal., 12(2): 399-421, 2018. google scholar
• Hayek N., Gonzalez B. J. and Negrın E. R., Abelian theorems for the index 2Fi-transform, Rev. Tecn. Fac. Ingr. Univ. Zulia 15(3), 167-171, 1992. google scholar
• Hayek N. and Gonzalez B. J., A convolution theorem for the index 2F1-transform, J. Inst. Math. Comput. Sci. Math. Ser. 6(1), 21-24, 1993. google scholar
• Hayek N. and Gonzalez B.J., On the distributional index 2F1-transform, Math. Nachr. 165, 15-24, 1994. google scholar
• Hayek N. and Gonzalez B. J., A convolution theorem for the distributional index 2F1-transform, Rev. Roumaine Math. Pures Appl. 42(7-8), 567-578, 1997. google scholar
• Karataş H. B., Kumar D. and Uçar F., Some iteration and Parseval-Goldstein type identities with their applications, Adv. Appl. Math. Sci., 29(2), 563-574, 2020. google scholar
• Lebedev N. N., The Parseval theorem for the Mehler-Fock integral transform, Dokl. Akad. Nauk, 68(3):445-448, 1949.(in Russian). google scholar
• Maan J. and Negrın E. R., Parseval-Goldstein type theorems for the Kontorovich-Lebedev transform and the Mehler-Fock transform of general order, Filomat, 2024 (accepted for publication). google scholar
• Maan J. and Negrın E. R., Parseval-Goldstein type theorems for the index 2Fi -transform, Int. J. Appl. Comput. Math, 10(69), 2024, https://doi.org/10.1007/s40819-024-01713-9. google scholar
• Maan J. and Negrın E. R., Parseval-Goldstein type theorems for the Lebedev-Skalskaya transforms, 2024 (submitted). google scholar
• Maan J. and Prasad A., Wave packet transform and wavelet convolution product involving the index Whittaker transform, Ramanujan J., DOI: https://doi.org/10.1007/s11139-023-00793-3, 2024. google scholar
• Maan J. and Prasad A., Weyl operator associated with index Whittaker transform, J. Pseudo-Differ. Oper. Appl., 13(3):1-12, 2022. google scholar
• Maan J., Gonzalez B. J. and Negrın E. R., Abelian theorems for the index 2Fi -transform over distributions of compact support and generalized functions, Filomat, 37(30):10229-10236, 2023. google scholar
• Mandal U. K. and Prasad A., Lebedev-Skalskaya transforms and allied operators on certain function spaces, Integral Transforms Spec. Funct., 33(4): 320-340, 2022. google scholar
• Mandal U. K., Prasad A., Gupt A. K., Reverse convolution inequalities for Lebedev-Skalskaya transforms, Forum Math., DOI: 10.1515/forum-2021-0313, 2022. google scholar
• Negrın E. R., Operators with complex Gaussian kernels: boundednessproperties, Proc. Am. Math. Soc., 123(4): 1185-1190, 1995. google scholar
• Naylor D., On an asymptotic expansion ofthe Kontorovich-Lebedev transform, Appl. Anal., 39(4):249-263, 1990. google scholar
• Prasad A. and Mandal U. K. The Kontorovich-Lebedev Transform and Sobolev Type Space, Complex Anal. Oper. Theory, 12:669-681, 2018. google scholar
• Sousa R., Guerra M. and Yakubovich S., Levy processes with respect to the index Whittaker convolution, Trans Amer Math Soc., 374(4):2383-2419, 2020. google scholar
• Sousa R., Guerra M. and Yakubovich S., On the product formula and convolution associated with the index Whittaker transform, J. Math. Anal. Appl., 475(1):939-965, 2019. google scholar
• Srivastava H. M. and Yürekli O., A theorem on a Stieltjes-type integral transform and its applications, Complex Variables Theory Appl., 28(2):159-168, 1995. google scholar
• SrivastavaH. M., Gonzalez B. J. and Negrın E. R., New Lp-boundednessproperties for the Kontorovich-Lebedev andMehler-Fock transforms, Integral Transforms Spec. Funct., 27(10):835-845, 2016. google scholar
• Yakubovich S., An Index integral and convolution operator related to the Kontorovich-Lebedev and Mehler-Fock transforms, Complex Anal. Oper. Theory, 6(4):947-970, 2012. google scholar
• Yürekli O., A Parseval-type Theorem Applied to Certain Integral Transforms, IMA J. Appl. Math., 42:241-249, 1989. google scholar
• Yürekli O., A theorem on the generalized Stieltjes transform, J. Math. Anal. Appl., 168(1):63-71, 1992. google scholar

Citations