Virginia Kiryakova
Research Papers


  1. On an integral transformation, due to N.Obrechkoff (Dimovski I. H., Kiryakova V. S.). Lecture Notes in Math.; 1980; 798; 141-147;
  2. Complex inversion formulas for the Obrechkoff transform (Dimovski I. H., Kiryakova V. S.). Pliska (Stud.Math.Bulg.) , 1981; 4, 110-116;
  3. Relation between the Laplace and Obrechkoff transforms (In Russian). (Dimovski, I. and Kiryakova V.) . Proc. Conf. Generalized Functions in Math. Physics, Moscow' 1980. Moscow, 1981, 225-231.
  4. An explanation of Stokes phenomenon by the method of transmutations (Kiryakova V. S.). Proc. Conf. Diff. Equations and Appl., Rousse'1981. Rousse, 1982, 349-353.
  5. Convolution and commutant of Gelfond-Leontiev operator of integration (Dimovski I.H., Kiryakova V. S.). Proc. Conf. Constr. Function Theory, Varna'1981. Sofia, 1982, 288-294;
  6. Convolution and differential property of Borel-Dzrbasjan transform (Dimovski I., Kiryakova V.). Proc. Conf. Complex Anal. and Appl.,Varna'81. Sofia,1984, 148-156;
  7. On the Weyl fractional operator of two dimensions (Raina R. K., Kiryakova V.). C. R.Acad.Bulg. Sci., 1983, 36, No 10, 1273-1276;
  8. An application of Meijer's G-function to Bessel-type operators (Kiryakova V. S.). Proc. Conf. Constr. Function Theory, Varna'1984 . Sofia, 1984, 457-462;
  9. Integral transformations for Bessel-type differential operators via Meijer 's G-function (Kiryakova V. S.). Proc. Conf. Complex Anal. and Appl. to Partial Diff. Equations, Halle'1984. 1984, 67-71;
  10. Transmutations, convolutions and fractional powers of Bessel-type operators via Meijer G-functions (Dimovski I. H., Kiryakova V. S.). Proc. Conf. Complex Anal. and Appl., Varna'1983. Sofia, 1985, 45-66;
  11. On a class of generalized operators of fractional integration (Kiryakova V. S.). Proc. Jubilee Session devoted to Acad. Chakalov,Samokov'1986. 1990, 79-87;
  12. On operators of fractional integration involving Meijer's G-functions (Kiryakova V.S.). C.R.Acad.Bulg. Sci., 1986, 39, No 10, 25-28;
  13. Generalized Poisson transmutations and corresponding representations of hyper-Bessel functions (Dimovski I. H., Kiryakova V. S.). C.R.Acad.Bulg. Sci., 1986, 39, No 10, 29-32;
  14. New integral representations of the generalized hypergeometric functions (Kiryakova V. S.). C.R.Acad.Bulg.Sci., 1986, 39, No 12, 33-36;
  15. An application of the generalized operators of fractional integration to dual integral equations involving Meijer's G-function (Kiryakova V. S.). Pliska (Stud.Math.Bulg.), 1989, 10, 93-107;
  16. Generalized Operators of Fractional Integration and Differentiation and Applications (V. Kiryakova). Ph.D. Thesis, Sofia Univ., 1986, 312 p.
  17. Applications of the generalized Poisson transformation for solving hyper-Bessel differential equations (In Bulgarian) (V. Kiryakova). Godishnik VUZ. Appl. Math., 1986, 22, No 4, 129-140;
  18. Generalized Poisson representations of hypergeometric functions pFq, p < q using fractional integrals (Dimovski I. H.,Kiryakova V.S.). Math.and Educ.Math., 1987, 205-212;
  19. Generalized fractional derivative representations of hypergeometric functions pFq with p < q (Kiryakova V. S.). Math.and Educ.Math., 1987, 228-235;
  20. Generalized fractional integral and fractional derivative representations of hypergeometric functions pFq for p = q and p = q + 1 (Kiryakova V. S.). Proc. Conf. Constr. Function Theory, Varna'1987, 1988, 260-269;
  21. Representations of the solutions of hyper-Bessel differential equations via Meijer's G-function (Kiryakova V. S., Spirova S.). Proc. Conf. Complex Anal. and Appl., Varna'1987, 1989, 284-297;
  22. Convolutions of Erdelyi-Kober fractional integrals (Kiryakova V. S.). Proc. Conf. Complex Anal. and Appl., Varna'1987 , 1989, 273-283;
  23. A generalized fractional calculus and integral transforms (Kiryakova V. S.). Proc. Conf. GFCA, Dubrovnik'1987 (Plenum Publ. Co.,New York), 1988, 205-217;
  24. A new differential formula for Meijer's G-function (Kiryakova V. S.). C.R.Acad. Bulg. Sci., 1988, 41,No 5, 27-30;
  25. Abelian theorems for the Obrechkoff integral transform (Nikolic-Despotovic D., Kiryakova V. S.). Review Research Fac. Sci., Math. Ser., Univ. Novi Sad;1988, 18, No 2, 45-60;
  26. Multiple Erdelyi-Kober fractional differintegrals and their use in univalent, starlike and convex function theory (Kiryakova V. S.). Annuaire Univ.Sofia Fac.Math.Mec. (Annual of the University of Sofia ), 1987, 81 , 261-283.
  27. Fractional integration operators involving Fox's H(m,0/m,m)- function (Kiryakova V. S.). C.R.Acad.Bulg.Sci., 1988, 41, No 11, 11-14;
  28. Generalized H(m,0/m,m) - function fractional integration operators in some classes of analytic functions (Kiryakova V. S.). Mat. Vesnik (Bulletin Mathematique, Beograd), 1988, 40, No 3-4, 259-266;
  29. An H-function generalized fractional calculus based upon compositions of Erdelyi-Kober operators in Lp (Kalla S. L., Kiryakova V. S.). Math. Japonicae, 1990, 35, No 6, 1151-1171;
  30. A generalized fractional calculus dealing with H-functions (Kalla S. L., Kiryakova V.S.). Proc. Conf. Fractional Calculus and Its Appl., Tokyo'1989 (Nihon Univ.), 1990, 62-69;
  31. Explicit solution to a generalized (multiple) Abel integral equation via H-function (Kiryakova V.). Enlarged summaries of Conf. Equadiff 7,Praha'1989, 1989,153-155;
  32. Poisson and Rodrigues type fractional differintegral formulas for the generalized hypergeometric functions pFq (Kiryakova V. S.). Atti Sem. Mat. Fis. Univ. Modena,1990, 39, 311-322;
  33. Some expansions related to a family of generalized radiation integrals (Kalla S. L., Galue L., Kiryakova V. S.). Math.Balkanica (N.S.), 1991, 5, No 3, 190-202;
  34. On a relation between the two-dimentional H-transforms in terms of Erdelyi - Kober operators (Saxena R. K., Kiryakova V. S.). Math. Balkanica (N.S.), 1992, 6, No 2, 133-140.
  35. Generalized (multiple) Riemann-Liouville fractional differintegrals and their use in Univalent Function Theory ( Kiryakova V. S., Srivastava H. M.). In: "Analysis, Geometry and Groups: a Riemann Legacy Volume" . Hadronic Press, Inc., (Florida, USA - ISBN 0-911767-59-2) , 1993, part. 1, 191 - 226.
  36. Solution of dual integral equations by fractional calculus (Galue,L., Kiryakova,V. S., Kalla,S. L.). Mathematica Balkanica (N.S.), 1993, 7, No 1, 53 - 72.
  37. Solving hyper-Bessel differential equations by means of Meijer's G-functions, I: Two alternative approaches (Kiryakova,V. S.). Reports Strathclyde Univ., Math. Dept.,1992, No 19, 36 p.
  38. On solving hyper-Bessel differential equations by means of Meijer's G-functions,II: The nonhomogeneous case (Kiryakova,V. S., McBride A. C.). Reports Strathclyde Univ., Math. Dept.,1992, No 20, 22 p.
  39. Discrete operational calculi for two-sided sequences (Dimovski,I. H., Kiryakova,V. S.). The Fibonacci Quarterly (Proc. Fifth Internat. Conf. on Fibonacci Numbers and Their Applications ) , 1993 , 5, 159 -168.
  40. A unified approach to certain fractional integration operators (Saxena, R.K., Kiryakova,V., O.P. Davie). Mathematica Balkanica (N.S.),1994, 8, No 2-3, 211-219.
  41. Further results on a family of generalized radiation integrals (Galue, L., Kiryakova V.). Radiation Physics & Chemistry , 1994, 43, No 6, 573 - 579.
  42. Explicit solution of the nonhomogeneous hyper-Bessel differential equation (Kiryakova, V., McBride, A.). C.R.Acad. Bulg. Sci, 1993, 46 , No 5, 23 - 26.
  43. Application of fractional calculus to the solutions of differential equations (Kalla, S. L., Kiryakova, V. , Dimovski, I., Boyadjiev, L.). Proc. 19 th Summer School "Appl-s of Math. in Engn., Varna' 1993". Techn. Univ. - Sofia,1994; 115-140.
  44. Bessel-Clifford third order differential operator and corresponding Laplace type integral transform ( Kiryakova, V. and Hernandez Suarez, V.). Dissertationes Mathematicae, 1995, 340, 143 - 161.
  45. Representation of generalized fractional integral operators associating L and L-1 on spaces Lp (Kiryakova, V., Raina R. K. and Saigo, M.). Math. Nachrichten, 1995, 176, 149 - 158.
  46. Laplace type integral transform for the third order Bessel-Clifford differential operator. (Hayek, N., Kiryakova, V., Hernandez Suarez V.). C. R. Acad. Bulg. Sci., 1995, 48, No 7, 21 - 24.
  47. Generalized fractional calculus, special functions and integral transforms (Kiryakova, V.). Transform Methods & Special Functions', Sofia '94 (Proc. 1st Internat. Workshop) . SCTP - Singapore, 1995; 123-149.
  48. Single term approximations of generalized hypergeometric functions (Galue, L., Kalla, S. , Kiryakova, V.). New Frontiers in Algebras, Groups and Geometries. Hadronic Press (Florida, USA), 1996; 417-440.
  49. Solutions of Erdelyi-Kober fractional integral, differential and differintegral equations of second kind (Kiryakova, V. , Al-Saqabi B.) . C. R. Acad. Bulg. Sci. 1997; 50, No 1, 27-30.
  50. Erdelyi-Kober fractional differintegral equations of second kind (Al-Saqabi, B., Kiryakova V. ). Recent Advances in Appl. Mathematics'96 (Proc. Intern. Workshop, Kuwait University), 1996; 13-24.
  51. Multiple Dzrbashjan-Gelfond-Leontiev fractional differintegrals ( Kiryakova, V.). Recent Advances in Appl. Mathematics'96 (Proc. Intern. Workshop, Kuwait University), 1996; 281-294.
  52. Explicit solutions of fractional integral and differential equations, involving Erdelyi-Kober operators (Al-Saqabi, B., Kiryakoba, V.) . Appl. Mathematics & Computation, 1997; To appear.
  53. Transmutation methods for solving Erdelyi-Kober fractional differintegal equations (Kiryakova, V., Al-Saqabi, B.). J. Math. Analysis & Appl-s, 1997, 211, 347-364.
  54. Explicit solutions to hyper-Bessel integral equations of second kind (Al-Saqabi, B., Kiryakova, V.). Submitted, 1997.
  55. Distortion and characterization theorems for starlike and convex functions related to generalized fractional calculus (Saigo, M., Kiryakova, V., Owa S.) . Proc. Symposium on Univalent Functions, Kyoto Univ., March '97, 1997; 25-46.
  56. A long standing conjecture failed? (Kiryakova, V.). Transform Methods & Special Functions', Varna '96 (Proc. 2nd Internat. Workshop) . SCTP - Singapore, 1997; 584-593.
  57. Obrechkoff's generalization of the Laplace and Meijer transforms: origins and recent developments (Dimovski, I., Kiryakova, V.). Transform Methods & Special Functions', Varna '96 (Proc. 2nd Internat. Workshop) . SCTP - Singapore, 1997; 557-577.
  58. All the special functions are fractional differintegrals of elementary functions ( Kiryakova, V.). J. Physics A: Math. & General , 1997; 30, No 14, 5085-5103.
  59. Some criteria for univalence of analytic functions involving generalized fractional calculus (Kiryakova, V., Siago, M., Srivastava, H. M.). Submitted, 1997.

 

Lectures and Papers contributed on other Internat. Math. Conferences: over 60.