Alexander Ivanovich Nizhnikov (on the 75th anniversary of his birth)

On April 11, 2021, Alexander Ivanovich Nizhnikov turned seventy-five years old, a wellknown Russian mathematician, Professor, Doctor of Pedagogical Sciences, Head of the Department of Technological and Information Systems of the Institute of Physics, Technology and Information Systems of the Moscow Pedagogical State University (MSPU), Vice-Rector of MSPU.
Alexander Ivanovich Nizhnikov has made a significant contribution to development of Russian scientific school on Functional Analysis. Moreover, the scientific and educational
activities of Professor A. I. Nizhikov have been very influential in the development of higher education in Russia. Alexander Ivanovich Nizhnikov published more than 150 scientific and
methodical works. For many years he is a member of the editorial board of the journal “Chebyshevskii Sbornick”. For achievements in the development of Russian Science and Education A. I. Nizhnikov was awarded several medals and honorary signs. 

1. Nizhnikov, A. I. 1978, ”Relationships for hypergeometric functions associated with basis-to-basis

2. transition“, Functional analysis (inter-university collection of scientific papers), Ulyanovsk, Vol.

3. , P. 111–116.

4. Nizhnikov, A. I., Vilenkin, N. Ja. 1979, ”Integral relations for Meyer 𝐺-functions and

5. representations of the 𝑛-dimensional Lorentz group“, University news. Mathematics, Vol. 5

6. (204), P. 13–19.

7. Nizhnikov, A. I. 1998, ”Application of methods of modern mathematical physics in the theory

8. of special functions. Monograph“, Moscow, MGOPU Publishing House.

9. Nizhnikov, A. I., Alexandrov, A. A., Shilin, I. A. 2011, ”Computer calculation of subgroups and

10. normal divisors of non-abelian groups of order not higher than 201“, Prepodavatel XXI vek, Vol.

11. (1), P. 214–220.

12. Nizhnikov, A. I., Shilin, I. A. 2012, ”Multiple integral transformations and linear combinations

13. of Whittecker, MacDonald, and Bessel functions“, Prepodavatel XXI vek, Vol. 1(2), P. 227–232.

14. Nizhnikov, A. I., Alexandrov, A. A., Shilin, I. A. 2013, ”About applying programming to the

15. study of properties of finite groups associated with normality“, Prepodavatel XXI vek, Vol. 2(2),

16. P. 214–222.

17. Nizhnikov, A. I. 2015, ”Semi-simple groups of rank I and associated special functions“, Materials

18. of the XII International Conference ”Algebra, Number Theory and Discrete Geometry: Modern

19. Problems and Applications“, Tula, P. 94–97.

20. Nizhnikov, A. I., Shilin, I. A. 2019, ”On some integrals, including the product of the functions

21. of Bessel-Clifford and Whitteker“, Chebyshevsky sbornick, Vol. 20 (3), P. 233–242.

22. Nizhnikov, A. I. 2004, ”Mathematical analysis“, Moscow.

23. Nizhnikov, A. I. et al. 2005, ”Higher mathematics for students of economic universities. Tutorial

24. (parts 1 and 2)“, Moscow.

25. Nizhnikov, A.I., Shilin, I.A. 2005, ”Elements of algebra“, Moscow.

26. Aslanov, R. M., Matrosov, V. L., Nizhnikov, A. I. & Topunov, M. V., 2006, 2007, 2008,

27. ”Mathematics. Tutorial (parts 1–3)“, Moscow.

28. Nizhnikov, A. I., Aslanov, R. M., Mukhanova, A. A., Mukhanov, S. A. 2013, ”Higher

29. Mathematics. Part 1. Textbook“, Kaluga: Eidos.

30. Nizhnikov, A. I., Aslanov, R. M., Mukhanova, A. A., Mukhanov, S. A. 2014, ”Higher

31. Mathematics. Part 2. Textbook“, Kaluga: Eidos.

32. Nizhnikov, A. I., Aslanov, R. M., Mukhanova, A. A., Mukhanov, S. A. 2015, ”Higher

33. Mathematics. Part 3. Textbook“, Kaluga: Eidos.

34. Nizhnikov, A. I., Aslanov, R. M., Mukhanova, A. A., Mukhanov, S. A. 2015, ”Higher

35. Mathematics. Part 4. Textbook“, Kaluga: Eidos.

36. Nizhnikov, A. I., Aslanov, R. M., Mukhanova, A. A., Mukhanov, S. A., Muradov, T. R. 2017,

37. ”Higher Mathematics. Part 5.1. Textbook“, Moscow: Prondo.

38. Nizhnikov, A. I., Aslanov, R. M., Mukhanova, A. A., Mukhanov, S. A., Muradov, T. R. 2019,

39. ”Higher Mathematics. Part 5.2. Textbook“, Moscow: Prondo.

40. Nizhnikov, A. I., Aslanov, R. M., Ignatova, O. G. 2013, ”Remote support of the laboratory

41. workshop on differential equations in pedagogical university, Bulletin of the RUDN University.

42. Series: Informatization of Education, Vol. 1, P. 35–39.

43. Nizhnikov, A. I., Mukhanov, S. A. 2014, ”Designing a training course based on the principles

44. of the global initiative CDIO“, Pedagogical Informatics, Vol. 4, P. 39–46.

45. Nizhnikov A. I., Mukhanova, A.A., Mukhanov, S.A., 2014, ”Development of a test tasks’

46. generator on differential equations for the Moodle distance learning system“, Bulletin of the

47. RUDN University. Series: Informatization of Education, Vol. 3, P. 100–107.

48. Nizhnikov A. I., Mirzoev, M. S., 2014, ”Preparation of bachelors of pedagogical education of the

49. ”Informatics“ profile in the context of the implementation of new federal educational standards“,

50. Nauka i Skola, Vol. 1, P. 60–65.

51. Nizhnikov A. I., Mirzoev, M.S. 2016, ”Algorithmic approach in the preparation of a bachelor

52. of pedagogical education, profile Technician in information systems“, Pedagogical informatics,

53. Vol. 4, P. 68–77.

54. Nizhnikov, A.I., Mirzoev, M.S., Khakimov, M.H. 2016, ”Methodological approaches to teaching

55. the integrated educational course ”Mathematics and Informatics“ in 5-6 grades of secondary

56. schools of Tajikistan“, Kazan Pedagogical Journal, Vol. 6, P. 113–115.

57. Nizhnikov, A.I., Mirzoev, M.S., Mukhamadiev, Z.S. 2016, ”Algorithmic approach to the training

58. of a technician in information systems“, Scientific notes RAO, Vol. 4 (60), P. 126–131.

59. Nizhnikov, A.I., Mirzoev, M.S. 2017, ”Application of the idea of ? ? the Turing mathematical

60. machine in the development of electronic learning“, Bulletin of the Kurgan-Tyubin State

61. University named after Nosir Khusrava, Vol. 1-4 (49). P. 191–193.

62. Nizhnikov, A.I., Rastopchina, O.M. 2018, ”The competent potential of higher mathematics

63. in the process of teaching students to prediction“, Kazan Pedagogical Journal, Vol. 5 (130),

64. P. 126–131.

65. Nizhnikov, A.I., Rastopchina, O.M. 2018, ”Teaching higher mathematics: a contextual approach“,

66. Bulletin of Moscow State Regional University. Series: Pedagogy, Vol. 3, P. 184–193.

67. Nizhnikov, A.I., Rastopchina, O.M. 2018, ”Textbook on higher mathematics for future

68. specialists in the bioresource industry: professional context“, Innovative development and modern

69. educational technologies in the system of physical and mathematical education. Collection of scientific articles based on the results of the International Interdisciplinary Conference, P. 48–

70.

71. Nizhnikov, A.I., Mukhanov, S.A., Mukhanova, A.A. 2018, ”Using information technologies to

72. individualize mathematics training on the example of the topic Differential equations“, Bulletin

73. of Moscow City Pedagogical University. Series: Informatics and Informatization of Education,

74. Vol. 1 (43), P. 72–77.

75. Nizhnikov, A.I., Monakhov, V.M., Smykovskaya T.K. 1999, ”Methodological system for studying

76. the course of mathematical analysis“, Moscow, Alpha.

77. Nizhnikov, A.I. 2000, ”Formation of mathematical competence in the students’ study of

78. mathematical analysis“, Moscow, Alpha.

79. Nizhnikov, A.I., Smirnova, I.M., Manyakhina, V.G., Zakharova, T.B., Mirzoev, M.S. 2017,

80. ”Actual problems of teaching mathematics and computer science at school and pedagogical

81. university“, Moscow, Prometheus.

82. Nizhnikov, A.I., Shilin, I.A. 2011, ”Some special functions related to unimodular pseudoorthogonal

83. groups“, Banach Center Publications, Warszawa, Vol. 93, P. 117–127.

84. Nizhnikov, A.I., Shilin, I.A. 2011, ”Some formulas for Legendre functions induced by the Poisson

85. transform“, Acta Polytechnica, Vol. 51 (1), P. 70–73.

86. Nizhnikov A.I., Shilin, I.A. 2012, ”Some formulas for Legendre functions related to the Poisson

87. transform and Lorentz group representation“, Journal of Physics: Conference Series, Vol. 346

88. (1), P. 012–020.

89. Nizhnikov, A.I., Mirzoev, M.S. 2015, ”Integration of mathematics and informatics as a base

90. for training in information technology“, International Journal of Education, Learning and

91. Development, Vol. 3 (9), P. 1–4.

92. Nizhnikov, A.I., Mukhanov, S.A. 2018, ”Continual addition theorems for Meyer and McDonald

93. functions“, Chebyshevskii sbornik, Vol. 19-2 (66), P. 334–340.