Eltayeb, Hassan; Kılıçman, Adem; Fisher, Brian On multiple convolutions and time scales. (English) Zbl 1296.44002 Math. Probl. Eng. 2013, Article ID 217656, 7 p. (2013). MSC: 44A35 PDFBibTeX XMLCite \textit{H. Eltayeb} et al., Math. Probl. Eng. 2013, Article ID 217656, 7 p. (2013; Zbl 1296.44002) Full Text: DOI
Kilicman, Adem; Fisher, Brian An introduction to neutrix composition of distributions and delta function. (English) Zbl 1244.46016 Malays. J. Math. Sci. 5, No. 2, 197-209 (2011). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kilicman} and \textit{B. Fisher}, Malays. J. Math. Sci. 5, No. 2, 197--209 (2011; Zbl 1244.46016)
Fisher, Brian; Kılıçman, Adem On the composition and neutrix composition of the delta function with the hyperbolic tangent and its inverse functions. (English) Zbl 1236.46035 J. Appl. Math. 2011, Article ID 846736, 13 p. (2011). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kılıçman}, J. Appl. Math. 2011, Article ID 846736, 13 p. (2011; Zbl 1236.46035) Full Text: DOI
Fisher, Brian; Kılıçman, Adem On the neutrix composition of the delta and inverse hyperbolic sine functions. (English) Zbl 1238.46030 J. Appl. Math. 2011, Article ID 612353, 12 p. (2011). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kılıçman}, J. Appl. Math. 2011, Article ID 612353, 12 p. (2011; Zbl 1238.46030) Full Text: DOI
Fisher, Brian; Kılıçman, Adem On the composition and neutrix composition of the delta function and powers of the inverse hyperbolic sine function. (English) Zbl 1210.33001 Integral Transforms Spec. Funct. 21, No. 11-12, 935-944 (2010). Reviewer: C. L. Parihar (Indore) MSC: 33B10 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kılıçman}, Integral Transforms Spec. Funct. 21, No. 11--12, 935--944 (2010; Zbl 1210.33001) Full Text: DOI Link
Eltayeb, Hassan; Kılıçman, Adem; Fisher, Brian A new integral transform and associated distributions. (English) Zbl 1191.35017 Integral Transforms Spec. Funct. 21, No. 5-6, 367-379 (2010). MSC: 35A22 44A35 PDFBibTeX XMLCite \textit{H. Eltayeb} et al., Integral Transforms Spec. Funct. 21, No. 5--6, 367--379 (2010; Zbl 1191.35017) Full Text: DOI Link
Fisher, Brian; Jolevsaka-Tuneska, Biljana; Kiliçman, Adem On defining the incomplete gamma function. (English) Zbl 1039.33001 Integral Transforms Spec. Funct. 14, No. 4, 293-299 (2003). MSC: 33B10 46F10 PDFBibTeX XMLCite \textit{B. Fisher} et al., Integral Transforms Spec. Funct. 14, No. 4, 293--299 (2003; Zbl 1039.33001) Full Text: DOI
Kiliçman, Adem; Fisher, Brian On the Fresnel integrals and the convolution. (English) Zbl 1043.33001 Int. J. Math. Math. Sci. 2003, No. 41, 2635-2643 (2003). MSC: 33B10 46F10 PDFBibTeX XMLCite \textit{A. Kiliçman} and \textit{B. Fisher}, Int. J. Math. Math. Sci. 2003, No. 41, 2635--2643 (2003; Zbl 1043.33001) Full Text: DOI EuDML
Kılıçman, Adem; Fisher, Brian; Pehlivan, Serpil Some commutative neutrix convolutions of functions and distributions. (English) Zbl 1035.46029 Int. J. Appl. Math. 11, No. 1, 15-26 (2002). Reviewer: Hideo Yamagata (Osaka) MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kılıçman} et al., Int. J. Appl. Math. 11, No. 1, 15--26 (2002; Zbl 1035.46029)
Fisher, Brian; Kılıçman, Adem; Nicholas, Joel D. An existence theorem for the commutative neutrix product of distributions. (English) Zbl 0970.46022 Publ. Math. Debr. 58, No. 1-2, 15-28 (2001). Reviewer: Peetre T.Crăciunaş (Iaşi) MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} et al., Publ. Math. Debr. 58, No. 1--2, 15--28 (2001; Zbl 0970.46022)
Fisher, Brian; Kılıçman, Adem; Li, Chen-Kuan An extension of a result on the non-commutative neutrix convolution product of distributions. (English) Zbl 1059.46505 Int. J. Appl. Math. 3, No. 1, 71-80 (2000). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} et al., Int. J. Appl. Math. 3, No. 1, 71--80 (2000; Zbl 1059.46505)
Kılıçman, Adem; Fisher, Brian Some results on the commutative product of distributions. (English) Zbl 1059.46507 Int. J. Appl. Math. 2, No. 6, 663-670 (2000). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kılıçman} and \textit{B. Fisher}, Int. J. Appl. Math. 2, No. 6, 663--670 (2000; Zbl 1059.46507)
Kiliçhaman, Adem; Fisher, Brian The commutative neutrix product of \(\Gamma^{(r)}(x)\) and \(\delta^{(s)}(x)\). (English) Zbl 0965.46030 J. Math., Punjab Univ. 31, 1-12 (1998). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kiliçhaman} and \textit{B. Fisher}, J. Math., Punjab Univ. 31, 1--12 (1998; Zbl 0965.46030)
Fisher, Brian; Kiliçman, Adem; Nicholas, Joel D. On the beta function and the neutrix product of distributions. (English) Zbl 0929.33001 Integral Transforms Spec. Funct. 7, No. 1-2, 35-42 (1998). Reviewer: L.Debnath (Orlando) MSC: 33B10 46F10 PDFBibTeX XMLCite \textit{B. Fisher} et al., Integral Transforms Spec. Funct. 7, No. 1--2, 35--42 (1998; Zbl 0929.33001) Full Text: DOI Link
Fisher, Brian; Kiliçman, Adem; Pehlivan, Serpil The neutrix convolution product \((x_-^{\lambda} \ln^r x_-) \boxed{*} (x_+^{\mu} \ln^s x_+)\). (English) Zbl 0928.46022 Integral Transforms Spec. Funct. 7, No. 3-4, 237-246 (1998). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} et al., Integral Transforms Spec. Funct. 7, No. 3--4, 237--246 (1998; Zbl 0928.46022) Full Text: DOI
Fisher, Brian; Kılıçman, Adem An extension of a result on the neutrix convolution product of distributions. (English) Zbl 0924.46032 Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 2nd international workshop, Varna, Bulgaria, August 23–30, 1996. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 107-113 (1998). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kılıçman}, in: Transform methods and special functions. Proceedings of the 2nd international workshop, Varna, Bulgaria, August 23--30, 1996. Sofia: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics. 107--113 (1998; Zbl 0924.46032)
Kiliçman, Adem; Fisher, Brian; Nicholas, Joel D. The commutative neutrix product of \(B^{(r)}(x,n)\) and \(\delta^{(s)}(x)\). (English) Zbl 0920.46033 Indian J. Pure Appl. Math. 29, No. 4, 397-403 (1998). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kiliçman} et al., Indian J. Pure Appl. Math. 29, No. 4, 397--403 (1998; Zbl 0920.46033)
Fisher, Brian; Kiliçman, Adem; Ault, J. C. Generalizations of commutative neutrix convolution products of functions. (English) Zbl 1009.46018 Novi Sad J. Math. 27, No. 2, 1-12 (1997). Reviewer: Stevan Pilipović (Novi Sad) MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} et al., Novi Sad J. Math. 27, No. 2, 1--12 (1997; Zbl 1009.46018)
Fisher, Brian; Kiliçman, Adem Neutrices and the non-commutative neutrix product of distributions. (English) Zbl 0912.46041 Bol. Soc. Mat. Mex., III. Ser. 3, No. 2, 299-307 (1997). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kiliçman}, Bol. Soc. Mat. Mex., III. Ser. 3, No. 2, 299--307 (1997; Zbl 0912.46041)
Fisher, Brian; Kiliçman, Adem A commutative neutrix product of ultradistributions. (English) Zbl 0856.46023 Integral Transforms Spec. Funct. 4, No. 1-2, 77-82 (1996). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kiliçman}, Integral Transforms Spec. Funct. 4, No. 1--2, 77--82 (1996; Zbl 0856.46023) Full Text: DOI
Fisher, Brian; Kiliçman, Adem; Damyanov, Blagovest; Ault, J. C. On the non-commutative neutrix product \(\ln x_ +\circ x_ +^{-s}\). (English) Zbl 0855.46025 Commentat. Math. Univ. Carol. 37, No. 2, 229-239 (1996). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} et al., Commentat. Math. Univ. Carol. 37, No. 2, 229--239 (1996; Zbl 0855.46025) Full Text: EuDML
Kiliçman, Adem; Fisher, Brian On the non-commutative neutrix product \((x_ +^ r\text{ln}x_ +)\circ x_ -^{-s}\). (English) Zbl 0853.46033 Georgian Math. J. 3, No. 2, 133-140 (1996). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kiliçman} and \textit{B. Fisher}, Georgian Math. J. 3, No. 2, 133--140 (1996; Zbl 0853.46033) Full Text: EMIS
Fisher, Brian; Kiliçman, Adem Some commutative neutrix convolution products of functions. (English) Zbl 0838.46030 Commentat. Math. Univ. Carol. 36, No. 4, 629-639 (1995). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kiliçman}, Commentat. Math. Univ. Carol. 36, No. 4, 629--639 (1995; Zbl 0838.46030) Full Text: EuDML
Fisher, Brian; Kilicman, Adem On the non-commutative neutrix product \(x_+^{-r}\circ x_+^{-s}\). (English) Zbl 0894.46028 J. Math., Punjab Univ. 28, 139-146 (1995). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kilicman}, J. Math., Punjab Univ. 28, 139--146 (1995; Zbl 0894.46028)
Kilicman, Adem; Fisher, Brian; Pehlivan, Serpil On the neutrix convolution product \(\ln x_-\boxed{*} \ln x_+\). (English) Zbl 0896.46027 J. Math., Punjab Univ. 28, 132-138 (1995). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kilicman} et al., J. Math., Punjab Univ. 28, 132--138 (1995; Zbl 0896.46027)
Kiliçman, Adem; Fisher, Brian Some results on the commutative neutrix product of distributions. (English) Zbl 0826.46030 Serdica 20, No. 3-4, 257-268 (1994). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kiliçman} and \textit{B. Fisher}, Serdica 20, No. 3--4, 257--268 (1994; Zbl 0826.46030)
Fisher, Brian; Kiliçman, Adem On the product of the function \(x^ r\text{ln}(x+i0)\) and the distribution \((x+i0)^{-s}\). (English) Zbl 0828.46038 Integral Transforms Spec. Funct. 2, No. 4, 243-252 (1994). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kiliçman}, Integral Transforms Spec. Funct. 2, No. 4, 243--252 (1994; Zbl 0828.46038) Full Text: DOI
Fisher, Brian; Kiliçman, Adem Commutative neutrix convolution products of functions. (English) Zbl 0807.46038 Commentat. Math. Univ. Carol. 35, No. 1, 47-53 (1994). MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kiliçman}, Commentat. Math. Univ. Carol. 35, No. 1, 47--53 (1994; Zbl 0807.46038) Full Text: EuDML
Fisher, Brian; Kiliçman, Adem The non-commutative neutrix product of the distributions \(x_+^{-r}\) and \(x_-^{-s}\). (English) Zbl 0896.46026 Math. Balk., New Ser. 8, No. 2-3, 251-258 (1994). Reviewer: Kosta Markov (Sofia) MSC: 46F10 PDFBibTeX XMLCite \textit{B. Fisher} and \textit{A. Kiliçman}, Math. Balk., New Ser. 8, No. 2--3, 251--258 (1994; Zbl 0896.46026)
Kiliçman, Adem; Fisher, Brian Further results on the non-commutative neutrix product of distributions. (English) Zbl 0793.46016 Serdica 19, No. 2-3, 145-152 (1993). MSC: 46F10 PDFBibTeX XMLCite \textit{A. Kiliçman} and \textit{B. Fisher}, Serdica 19, No. 2--3, 145--152 (1993; Zbl 0793.46016)