inequality for a modified Struve transform

References

• Ahmadi AR, Widnall SE. Unsteady lifting line theory as a singular perturbation problem. J Fluid Mech. 1985;153:59–81. doi: 10.1017/S0022112085001148
   Web of Science ®Google Scholar
• Shaw DC. Perturbational results for diffraction of water waves by nearly vertical barriers. IMA J Appl Math. 1985;34(1):99–117. doi: 10.1093/imamat/34.1.99
   Web of Science ®Google Scholar
• Shao J, Hänggi P. Decoherent dynamics of a two-level system coupled to a sea of spins. Phys Rev Lett. 1998;81(26):5710–5713. doi: 10.1103/PhysRevLett.81.5710
   Web of Science ®Google Scholar
• Pedersen TG. Variational approach to excitons in carbon nanotubes. Phys Rev B. 2003;67(7):Article ID 073401. doi: 10.1103/PhysRevB.67.073401
   Web of Science ®Google Scholar
• Heywood PP, Rooney PG. On the Struve transformation. SIAM J Math Anal. 1994;25(2):450–461. doi: 10.1137/S0036141092228386
   Web of Science ®Google Scholar
• Tuan VK. On the range of the Struve Hν-transform. J Integral Equ Appl. 2000;12(2):209–23. doi: 10.1216/jiea/1020282170
   Google Scholar
• Rooney PG. On the Hν and Yν transformations. Canad J Math. 1980;32:1021–1044. doi: 10.4153/CJM-1980-079-4
   Web of Science ®Google Scholar
• Titchmarsh E. Introduction to the theory of Fourier integrals. New York: Chelsea Publishing Company; 1986.
   Google Scholar
• Al Omari SKQ. Estimation of the generalized Bessel-Struve transform in a space of generalized functions. Ukr Math J. 2018;69(9):1341. doi: 10.1007/s11253-018-1435-x
   Web of Science ®Google Scholar
• Kamoun L, Sifi M. Bessel-Struve intertwining operator and generalized Taylor series on the real line. Integral Transforms Spec Funct. 2005;16:39–55. doi: 10.1080/1065246042000272063
   Web of Science ®Google Scholar
• Kamoun L, Negzaoui S. Range of Schwarz space by transforms related to Bessel-Struve operator. Math Sci Res J. 2011;15(N 11):322–332.
   Google Scholar
• Kamoun L, Negzaoui S. Range of D(R) by integral transforms associated to the Bessel-Struve operator. Bull Math Anal Appl. 2012;4(1):104–116.
   Google Scholar
• Kamoun L, Negzaoui S. Sonine transform associated with Bessel-Struve kernel. Math Sci Res. 2013;J. 17(8):208–219.
   Google Scholar
• Watson GN. A treatise on the theory of Bessel functions. Cambridge: Cambridge University Press; 1966.
   Google Scholar
• Heisenberg W. Über den anschaulichen inhalt der quantentheoretischen kinematik und machanik. Z F Physik. 1927;43:172–198. doi: 10.1007/BF01397280
   Google Scholar
• Rösler M, Voit M. An uncertainty principle for Hankel transform. Proc Amer Math Soc. 1999;127:183–195. doi: 10.1090/proc/1999-127-01
   Web of Science ®Google Scholar
• Bowie PC. Uncertainty inequalities for Hankel transforms. SIAM J Math Anal. 1971;2:601–606. doi: 10.1137/0502059
   Google Scholar
• Al Mousallam F, Tuan VK. An uncertainty principle for a modified Y-transform. Arch Inequal Appl. 2003;1(3–4):c. 441–451.
   Google Scholar
• Ben Salem N, Nasr AR. Heisenberg-type inequalities for the Weinstein operator. Integral Transforms Spec Funct. 2015;26(9):700–718. doi: 10.1080/10652469.2015.1038531
   Web of Science ®Google Scholar
• Ma R. Heisenberg inequalities for Jacobi transforms. J Math Anal Appl. 2007;332:155–163. doi: 10.1016/j.jmaa.2006.09.044
   Web of Science ®Google Scholar
• Negzaoui S. Beurling-Hörmander's theorem related to Bessel-Struve transform. Integral Transforms Spec Funct. 2016;27(9):685–697. doi: 10.1080/10652469.2016.1188814
   Web of Science ®Google Scholar
• Hamam S, Kamoun L, Negzaoui S. Cowling-price type theorem related to Bessel-Struve transform. Arab J Math Sci. 2012. doi: 10.1016/j.ajmsc.2012.09.003
   Google Scholar
• Mejjaoli H, Trimèche K. A variant of Cowling-Price's and Miyachi's theorems for the Bessel-Struve transform on Rd. J Taibah Univ Sci. 2018;12:415–420. doi: 10.1080/16583655.2018.1477031
   Web of Science ®Google Scholar
• Mejjaoli H, Trimèche K. A variant of Hardy's and Miyachi's theorems for the Bessel-Struve transform. Integral Transforms Spec Funct. 2017;28(5):374–385. doi: 10.1080/10652469.2017.1303833
   Web of Science ®Google Scholar
• Kamoun L, Negzaoui S. An Lp−Lq-version of Morgan's theorem for Bessel-Struve transform. Asian-Eur J Math. 2014;7(1):Article ID 1450014 (7 pages). doi: 10.1142/s1793557114500144
   Google Scholar
• Struve H. On the influence of diffraction of telescopes on light images [Über den Einfluss der Diffraction an Fernröhren auf Lichtscheiben]. Heilbronn: St Petersburg; 1882.
   Google Scholar
• Abramowitz M, Stegun IA, editors. Handbook of mathematical functions with formulas, graphs, and mathematical tables. Washington (DC): National Bureau of Standards; 1964. (Applied mathematics series 55). Reprinted by Dover Publications, New York; 1965.
   Google Scholar
• Samko SG, Kilbas AA, Marichev OI. Fractional integrals and derivatives. Yverdon Yverdon-les-Bains: Gordon and Breach Science Publishers; 1993.
   Google Scholar